As far as mental scaring is concerned, having her assaulting the male athletes would be much worse. Cops are mostly use to that sort of thing, male or female. Not sure how it is in Japan, but in good ol' Murica, female cops have to deal with half and fully naked men. Anyway, I realize I'm overthinking it, so it's not really a big deal.
If I truly wanted to nitpick I would point out that women wouldn't be as inclined to wear short skirts and makeup in this alternate universe, men should be the ones dressing up. The point of dressing up is to draw attention to the parts you want people paying attention to. If guys in that universe aren't interesting in boobs and thighs, there's far less incentive for women to dress up exposing those areas, but in this alternate reality they are still dressing in a manner that would appeal to mean of this reality. Yes, I realize this is because of intended audience of the manga.
it really makes yku 
