Ultimately males (whether men, non-binary or transwoman) don't belong in spaces where women and children are vulnerable and in a state of undress and/or at a disadvantage. That includes women's prisons, refuges, changing rooms, wards, loos and in sex divided sports competitions where male bodies are at an advantage.
Women need the protection of single sex spaces.
I am happy that separate measures are put in place to protect transwomen that are deemed unsafe in male environments. But women aren't support humans to have their dignity and protections removed in the favour of transwomens safety and validation.
3rd spaces are the compromise @Passmethewhat but the TRA reject these as they express that anything short of validating transwomen as being the same as women is not acceptable. They will only accept total submission.
You know that women are at risk in mixed sex environments. Just ask yourself how a transwomen differs from other males.
Noting that 95% of transwoman are still intact males.
The % of transwoman in prison for sexual offences against women is higher than the % across other males in prison. Indications therefore have transwomen may be more likely to be sex offenders than other males.