Sakura looked sick when she heard Amane speak. She had seen her house fight Clent family all her life, so the thought of allying did not even cross her mind.
But looking at Yoko's determined expression told Sakura that she would not back down no matter what Sakura did. So, it would be better for Sakura to back down and allow Yoko to do what she wanted.
"Fine, if that's what you want to do then I am sure you will find a way to swing Bambi to your side. But can you not do the courting publicly? It might reflect publicly on our family."
It has less to do with the family's reputation and everything to do with the fact that Sakura did not want to see Amane try and win over another person. Her jealous personality might take it the wrong way.
By now, Sakura should be used to watching Yoko try and tame others for her goal. But it never got easy to see Yoko with other girls when Sakura was right there for her.
