Remembering that bitter incident, made she start thinking about becoming stronger and more consistent in studying healer. The time when she always prioritized playing and having fun is over, there are things she must immediately do to make her future a little brighter.
Now she just wants to make amends for her past mistakes and be a little more useful to those around her. It made she interested in Queen Lethia's offer.
Becoming stronger to be useful to the people who protect her would be something she wants to achieve under her desire to meet her older brother. The power to be independent and not dependent on others could be her new goal. She wanted to no longer be a burden to those around her.
"How? Are you interested in my offer and become my follower?!" Queen Lethia asked her offer once again.
This is Alicia's chance, let alone this offer directly from a queen. Practicing in the kingdom was probably the best way for her to cover her weaknesses.