If you look at the rape and assault charges for Trans Women across the country nearly all happened whilst the assailant was still a man.
Of course they did. People can't change sex, so men who at some point in their lives identify as 'transwomen' are still men, so all their crimes are committed while they are 'still men'.
The issue is crossdressers and predatory individuals disguising themselves as Trans Women under the pretence to do significant harm to other Cisgendered Women.
How do we tell the difference between a man who genuinely believes himself to be a 'transwoman' and a man who is pretending to be a 'transwomen'? Layla Moran has a method of seeing into people's souls, but most of us don't have that ability, so how can we know?
And I'll just remind you again of the mumsnet rules about using 'cis'.
https://www.mumsnet.com/i/trans-rights-moderation-policy
A law can be introduced to kick Trans Women out of spaces but then Trans Men (Including passing Trans Men) have the right to enter Womens only spaces. Then you blur the lines even more for the type of people you expect to see in these places making it even easier for a Cisgendered Man to walk in and do whatever he wants. Nobody has considered this possibility yet because it isn't in law yet.
Well, if all men who believe themselves to be 'transwomen' use men's spaces, and women who are 'passing transmen' also use men's spaces (because the men won't notice because they pass), then women's spaces can be for just women again.
You might argue to kick Trans Women out of women's only spaces entirely but there is no way to enforce this because there are plenty of passing Trans Women you don't see and can't just check the genitals of no matter how much you would like to in this scenario.
No we don't want to check anyone's genitals. One of the problems of men using women's spaces is that they're often far too keen to show us their genitals when we don't want to see them. And a man who has has his penis amputated is still a man anyway.
And if so-called 'transwomen' know they shouldn't be in women's spaces, why would any of them be in there? What sort of person goes into a space where they don't belong when they know that they might cause distress to the women in there? You really seem to have a very low opinion of so-called 'transwomen'.