What game genres are women allowed to play?

There's an association or an assumption from certain pockets of the internet that women only play cozy games. Now obviously, that's not true, but also, if it is, who cares? Well, lots of people apparently. So what's an acceptable genre for women to play? That was the question that kicked off this week's G+RLS podcast, because ultimately surely it's any genre they're interested in. But, whether that's down to the community around it, the judgment of how you're perceived, or the stereotypes around