why not just let people go to the toilet in peace.
That is exactly what women want - to go to the toilet in peace in an area that is exclusively for FEMALES, not males whatever said males are wearing, whatever hormones they are or are not taking, whatever cosmetic or surgical alterations they have chosen to make to themselves. Women are entitled to safety, dignity, privacy and comfort in spaces that were designed for their sole use.
What you are advocating for is for males to have the choice of all available facilities and for women to have no choice, particularly those women who, for whatever reason, cannot or do not want to share a space with a male.
I think given how much hate crime trans people have faced over recent years it’s much more likely a trans woman using them men’s toilets will be physically or sexually assaulted.
More risible bollocks, there are NO recorded instances of TW being beaten up of sexually assaulted in the men's toilets and I have scoured the internet looking for case, there isn't one, not one.
Several TW do use the men's toilets and guess what, they report NO incidents at all.
A group of prominent TW trans activists once went into the men's toilets to try and prove how scary it was and how evil the men in there would be to them and it backfired spectacularly, the men barely looked twice at them let alone resort to beating them up.
Does the thought of risk that trans women face because you expect them to use the men’s toilets not concerned you? Do you want them to be exposed to risk?
Answer to first part: No, it doesn't concern me at all my concern is to for the little girls one of whom had a knife held to her throat by Katie Dolatowski.
Answer to the second part: There is no proof of any risk whatsoever.
Your glib comment @Kit7 that if someone wants to attack you in the toilets they will anyway, what you are advocating is to make it even easier - great safeguarding, great comprehension about prevention. Do you take that attitude with anything else?
Finally, women are not on this earth as validation tools for males who think they are women, nor are they on this earth to act as human shields or become collateral damage.
If TW don't like using the male toilets or changing rooms that are there for their use, tough let them advocate for an extra space for their use do not presume to take spaces away from women.