This would seem to link to the issue of men often saying 'but no one noticed because no woman stood still and screamed 'OMG It's a MAN'.
Point taken. It seems rude, but needs must, so I prescribe screaming. When possible. Considering the size, build, instability and frequent bellowing of phenomentally misogynist and threatening abuse by one local at any woman who stretches his regulation capactiy by breathing too loud in his sight, despite his snazzy skirt, if he's in any enclosed women's space I shall just get the fuck out of there as fast as possible without drawing his ire because he's terrifying. At least though I can now go straight to the desk of wherever and ask for the single sex women's facilities because the bloody scary bloke in there appears to indicate one of us has mistaken that room for the mixed sex facilities.
This is all purely about respecting women to the exact same extent as respecting men with gender identities. And the rage (including a number of quite fantastically stupid women for some reason) at the idea of it.