If they had respect for women they wouldn't invade their space knowing that as they walk in to do them in their own way, and have their preferred choice of all the spaces to live their best life in, some women are forced to walk out and have nothing at all.
I'm absolutely over the 'lovely trans friend' bit, I have no time or respect for anyone who thinks other women and their exclusion don't matter when it comes to enabling a man. If you seriously aren't aware that some women cannot share mixed sex spaces then I think the vile phrase is 'educate yourself', but how you've managed to stay this naive baffles me. Perhaps you have not 'hung out' with a particularly diverse group of women.