the need for this exercise in prejudice.
Could you explain what exactly you see as "prejudice" here? What belief is unsubstantiated by evidence/reality?
I do hope you're not suggesting that men who don't say they're women are more of a risk and more threatening to women than men who do say they're women?
That would seem immensely prejudiced against us, and demonstrably untrue, and I will not accept that unevidenced slur from you.
I accept that men are a risk to women, because of the indisputable evidence for that, and I accept that a limited number of female-only spaces are a practical least-harm solution.
I will never accept that "transwomen" are not at least the same risk and need to be treated the same way as other men as long as either (a) "transwoman" merely means "any man who says he's a woman" - which appears to be de facto policy here, or (b) the stats show typical male-pattern violent and sexual offending rates (or worse), which they do.
If you want to limit transwomen to a strictly defined group with strict gatekeeping, so women could be reassured that these weren't random blokes, and can then could demonstrate actual female-pattern behaviour from that gatekept subset, maybe we could talk. But that's not the real world.
So it's has to be hard exclusion of self-identified "transwomen". That is the inevitable consequence of "self ID". If anyone can opt into the group, the group cannot receive special privileges.
And all of this is permitted by the Equality Act - even "transwomen" with GRCs can be excluded from female-only spaces.
Because they're female-only. (duh) And the authors of the EA2010 knew perfectly well that getting a GRC did not make a male female.