If a battle against Mihawk was one of skill, physical ability and Haki then a battle against the sisters of Boa Hancock was one of dealing with the sisters Haki and predictive ability along with each of their Zoan abilities that they could use on top of their physical abilities.
Mihawk was a greater fighter and put more pressure on Alyssia but the sisters provided more of a challenge when it came to their use of poison, their transformed bodies and their manipulation of their hair which allowed them to poison and constrict their opponents.
Luckily Alyssia was able to know in advance about their abilities so she was not caught in a trap like Luffy and was able to send out shockwaves and wind attacks to remove the poisonous spit from the arena as she continued to improve her Observation Haki and learned how to better overcome predictive and evasive fighters like them.
The sisters were a little more impulsive and attacked more frequently which allowed many times for Alyssia to land a hit or grab ahold of them so she was able to defeat them after growing more familiar with fighting them but the likes of Katakuri would still be quite difficult to hit due to their superior evasive and predictive abilities that could only be described as having future sight.
Through her fight with them she had learned that it was best to remain calm and wait for the chance to gain an advantage rather than rush in impulsively.
However in the battle against Boa Hancock, it became a battle of the use of their Haki including Conquerors Haki and their individual abilities as Boa also had a difficult Devil Fruit power.
It required a great deal to keep her mind focussed and not be distracted by the beauty in front of herself which could prove fatal.
"Pistol Kiss!"
Many little hearts were shot in Alyssia's direction but her very subtle and small movements allowed her to dodge each of them with ease.
"Slave Arrows!"
Many arrows scattered over the battlefield and turned anything to stone that they hit but Alyssia's footwork allowed her to escape each of them safely.
"This empress is not happy! Hmph!"
Boa coated her foot in Haki and her petrification power as she clashed with Alyssia who had mirrored her movements each time but the Haki of Alyssia had protected her from the effects and she had kept her mind from being affected by Boa so she did not turn to stone.
Her strong will which had been tempered through training, meditation and breathing techniques had let her avoid being petrified which had rendered most of Boa Hancocks attacks useless but they did provide Alyssia with a new experience and challenge to test how strong her will had become.
A clash of conquerors happened each time they made contact with each other and they were both growing through their battle in their own way as it continued for most of the day.
"Am I not beautiful?" Boa Hancock put on a beautiful pose mid fight each time as she showcased her extreme beauty to charm her opponent. "Love love beam!"
The beam passed through the body of Alyssia again but she stood on the stop with a calm face. "Sorry but this attack did not work the first time, why should it work this time? I am not attracted to you, I do not like girls… and if I did? I would not fall for someone so dangerous."
"How.. how could you.." Boa Hancock turned pitiful as tears glistened in her eyes and fell down as it made her beauty shine even more as many would have their protective instinct inspired by seeing her appearance. "Love love beam!"
"How could you!"
"Our empress! Do not cry!"
"Aaah! We love you!"
"Hey! Stop hurting our beautiful empress!"
Alyssia snorted as the beam passed through her again. "You do not need to take offence to it but I just do not want my life to end here just because of one moment of weakness. Even now I know that your tears are just another weapon so.. I will defeat you. Then we could be friends.. or rivals? Or allies? I already have one of your people on my crew who respect you so I do not wish to embarrass you in front of her so lets put on a good show."
Fighting against Boa Hancock was a big psychological battle where the slightest wavering of the mind would result in Alyssia's loss and her petrification which could become a permanent thing if Boa Hancock does not feel like releasing her.
When Boa Hancock fought against the previous opponent that was in the World Pirates, the herbalist or kenpo master used her own method to distract herself and not fall for Hancock's charms but it came at the cost of consuming many strong flavoured herbs but even that tactic was eventually defeated due to Hancocks clothes being partly destroyed and increasing her charm further as she finally petrified her opponent who was the same gender.
Although the love fruit powers work mainly on the opposite gender, in Hancock's hands it becomes a tool to harm both males and females so even Alyssia who was in her best state could not let down her guard for a single second.
The confrontation turned back into a pure battle of power, technique and Haki as they exchanged all kinds of kicking techniques as they both were learning from each other and further improving each of their skills until Alyssia started to feel that her Haki was reaching the limits of growth against her so she raised her strength and speed a little more during the battle.
Salome entered the battle to assist her master in many ways but the fight eventually came to an end as Hancock sat on the ground in a slightly haggard and tired state. "Waaa, how could you beat me."
"Waaa, wuwuwu, how cruel of you!" She burst into tears after being defeated as she was no longer able to lift her body up anymore but then she turned her hand shape into a heart. "Love love beam!"
Her pitiful appearance was once again used as a weapon once again in the last moment but what happened next surprised her.
Alyssia had white electrical energy surround her body as she escaped the beam before it could hit her and grabbed onto Hancock's wrist tightly. "You can stop now, it is over."
Hancock grit her teeth and complained. "Owowowow! Okay! It hurts! Let go!"
The appearance of Alyssia had become quite scary in Hancock's eyes as if she had turned from prey into predator or a sheep suddenly became a wolf in a single moment.
She finally knew that Alyssia had been holding back in their fight and was only trying to improve herself without relying on her strong electrical powers. "Fine.. ouch. How about we have a feast? Let's celebrate your victory! We of Amazon Lily always respect strength! Strength is beauty here and you should be respected and loved here!"
Alyssia's eyes turned into crescents as she smiled. "Now you are finally showing actions befitting of your position. alright! Lets feast!"
Boa Hancock had been behaving a little like a spoiled child and as a vicious enemy to Alyssia since they had met and continued fighting all day but once it was all over, she started to become more diplomatic and welcoming as she started following the customs of her tribe.
The previous gathering of the crew was supposed to be the final gathering before they left for the New World but the events of Amazon Lily created another one which was only for the females of the crew and those of Amazon Lily.
"Garchu!"
"Ufufufu!"
"Alyssia.. you got drunk again! Sigh.."
"Cannot take her anywhere.. seriously.."
"Oh well.. drink!"
"This meat is so good!"
"Omnomnom."
Meanwhile a blue haired young lady greeted Hancock and bowed to her excitedly. "Hello my empress! You fought well!"
Boa Hancock nodded calmly and asked. "Your name was Sunila wasn't it? How did you come to have such a strong companion? I am sure that someone like you would be qualified to join my crew."
Sunila waved her hands frantically while blushing. "No.. not at all. My skills were not enough to qualify back then. Alyssia and her crew found me and saved my life but they also helped to correct many of my faults. I owe them a lot but I will never forget my origins, if Amazon Lily ever needs me… I will gladly come to help!"
Boa Hancock snorted. "We are strong enough to defend ourselves and do not need to rely on others but your words I will remember."
Boa Hancock was well aware that her position came with sacrifice and she had to often make decisions for those on the island as she sacrificed her pride each time in order to carry out tasks for the World Government as a Warlord.
She knew that the Warlord position demanded a lot from her and it may not be there forever to provide a shield to protect Amazon Lily from attacks, one day the world would remove that protection and then turn their blades towards her island so it was best to develop some beneficial relationships in private.
Due to Sunila's connection to Alyssia, she could possibly request her help one day if it was truly needed.
Although she did not know the true strength of Alyssia's crew, the strength of the captain was often a good indicator of the strength of some crews and she had enough intellect to see that those around Alyssia wished to support her so their efforts to improve themselves couldn't be small.
Meanwhile Alyssia had been applying medicine to the smaller wounds on her body that she had gotten at the beginning of her battles against Mihawk and Boa Hancock that had not healed yet.
Although she could keep some battle scars of her memorable fights, she preferred to look after herself as she knew that Tristan would nag her if she did not look after herself.