The same way I would now if I were living under a government that allowed or mandated it... effectively, I wouldn't. If I found it too egregious (and honestly I've found no compelling reason to look into the gory details of the activity) and couldn't persuade others to stop, I would simply have to move.
How is anarchy worse in that regard?
The present system embodies the moral standard that we all share and it is effectively preventing female genital mutilation in the West and reducing it in the Middle Eastern states what actually function as states. Of course in places like Sudan and Somalia where there is anarchy, almost all girls get their bits cut.
That's how anarchy is worse. It removes the legal mechanisms for controlling aberrant behaviour.