Could somebody much better than I am at demolishing what I'm sure is a pile of nonsense please have a crack at this?
translucent.org.uk/what-foi-data-shows-about-trans-women-in-single-sex-spaces/
Summary
TransLucent's Freedom of Information investigations across 382 public bodies, covering a period of over three years, found only four complaints about trans women using single-sex spaces, conclusively demonstrating that this widely publicised concern as part of the culture war against trans people is not supported by documented evidence from service providers.