For some reason many of the "villainess" trope MCs really have a lot of patience and kindness to deal with those dumb and ignorant capture-targets and schoolmates/authorities, like they don't even bother at least actually verify it when they doubt her straight up accusing her and then carried on to get her expelled. If I'm already that OP and have the means and resources to just go independent, I'd just find other ways to gain influences and powers to get my happy ending/avoid the original scripted bad ending, I wouldn't bother going to the academy so that I would not be surrounded by such prideful ignorant idiots all the time. Well, at least some villainesses do take that kind of routes. Hopefully, these capture-targets in this manga would just leave her alone soon and have actual allies debut to defend/support her.