It's about how we organise, not "policing"of anything. That's a pejorative term, which I suspect you wouldn't use to describe other aspects of anarchist practice aimed at protecting traditionally oppressed communities (in this instance, females).So the nub of the problem is actually how and who polices what is a woman/man and in what circumstances is that policing is necessary.
That's because you're (wrongly) conflating gender critical anarchists with other gender critical people. It's quite possible to want to guarantee safe spaces without appealing to the state to provide them. Indeed, that's what the current bookfair is aiming to do for trans people!Now this is a ground for anarchist debate, but the solutions offered so far from the GC movement have all resorted to state enforcement of various kinds.
Gender critical thought is not a monolith. It's quite possible to address gender from an anarchist perspective without necessarily believing that there are no differences between women who are trans and women who are not, and the way we should respond to that fact.Until an anarchist perspective of how this conflict can be addressed is presented, from the bottom up and in the spirit of mutual aid, without the need for cops, courts, prisons and government panels, then it's hard to see how the GC movement has anything to do with anarchist thought.
But this issue is relevant to the subject of this thread.But anyway, theres a whole other thread to debate trans issues on here so if you want to discuss it further perhaps post on that instead of derailing this one.