I think this is a really interesting question. One of the ways patriarchy flourishes, is by getting women to do its dirty work for it.
So in China, it was the mother and aunts who broke the feet of the little girls and bound them. In various cultures where FGM is practised, before modern medicine (and still in many places) it was a woman in the village who performed the ritual. The Magdalen houses were run by nuns, not priests.
The men could pretend they had nothing to do with it. The fact that the mothers were mutilating their girls because the only way their girls would find a husband, was if they were mutilated, (because men insisted on broken feet, mutilated clitori etc.) could go unnoticed. It looks like it's women who are responsible for the violence, because they're administering it. The fact that they're administering it on behalf of men, is disguised.
It's how all dictatorships behave. They select individual people from the oppressed class and give them privileges on the proviso that they do their dirty work so that they can remain loftily above it. If they stop doing it, they soon find themselves back in the oppressed class, but marked as traitors so even worse off.
Margaret Atwood was on Book Club on Radio 4 today, might be worth a listen.