The women won’t stand for it; look at all the hoopla they try to generate for the US Women’s soccer team - and imagine there were no “soccer moms” or open lesbians in the lineup.
How will they stop it?
I didn't think women would stand for Islam, either, because of how they treat women. But I've seen pictures of women holding signs welcoming refugees or saying "Better raped than racist." If one PC group trumps another, (and I think transgender is trumping feminism right now,) then yes, the women will stand for it. It's a crazy world.