There's a lot of bravado about males continuing to use female spaces but in reality the majority will back down. The obvious answer, which we have said all along, is to campaign for more gender neutral spaces, alongside single sex spaces.
Obviously this isn't good enough for those who insist that males must be allowed to access female only spaces, even when gender neutral facilities are available, such as this poster on reddit:
"Also, when I say remain inclusive, I mean legally allowing trans women in the women's changing rooms etc, I don't mean gender neutral spaces, because I also don't want to have to share spaces with men."