Cassie, I think you’re wrong - Starmer has never mentioned ‘single-sex spaces’ only ‘safe spaces’, and when he talks about protecting women’s rights, this needs to be understood in the context that he believes TWAW.
Meanwhile Sunak (but not all Tories, see Mordant and Noakes) is clear that ‘woman’ mean biological woman, and the manifesto looks to clarify that in law
You are putting a lot of trust in Starmer to support women’s rights in government when he’s been so determined not to in opposition. Or maybe what he’s offering is actually exactly what you want