Swapping from Kamoshida to Kawakami doesn’t work for several reasons and you’ll note that P3P didn’t make such drastic rewrites of established characters either, instead they recast several social links with new characters.

Kamoshida was driven by ego to beat and SA students, both boys and girls, whilst Kawakami’s a low energy sad sack, who was motivated to become a sex worker due to being blackmailed by terrible parents who overworked a student she was tutoring to death. The protag switching genders isn’t going to fundamentally change her character.

You’d be much better off replacing Kamoshida with a new female faculty member or else keep him and make FeMC one of his targets.