Again as to pp, it is lovely that you personally have no issue with using a mixed sex space (remember it's all situations, rape crisis, being searched, everything, not just 'bathrooms'). Genuinely I'm really happy for you that you have been lucky enough in your life and circumstances that you don't need this facility or understand why other women do. I hope that never changes.
When you say 'people' do you mean women too, or just men with trans identities?
Because they experience a bit more than hurtful and rude if they are not as lucky as you and cannot use a mixed sex space. There is no way to know or list all the experiences women may have had, and it's deeply personal information, but why should they be left unable to use women's spaces, toilets, changing rooms, rape crisis, refuges, etc etc because men are there? It was a bit more than 'hurtful and rude' for the women assaulted and raped in women's prisons by the men there, or the women and girls assaulted in women's toilets wasn't it? There are worse things than dealing compassionately with the anxiety of women whose stories are just as important as those of the men, when they are fearful that the person in the space where they feel vulnerable may be a man, because their experience of the world right now is that it may very well be. And it's a belief strongly surrounded by images and threats of sexual violence: did you see the series of 'your view if you're a terf in my mentions' on social media? Lots of selfies of men with gender identities in women's toilets with weapons like swords and machetes, an open threat to attack and worse if a woman dared to voice her right to a single sex space?
While men with gender identities 'use the toilet they feel more comfortable with' where's the toilet these women can be comfortable in? Where's the equality? The reciprocation? We're talking about women who are just as human as these men are, aren't we?
What's wrong with gender neutral additional options where you and other women who are fine with mixed sex can enjoy that opportunity, where men with gender identities have a space that means freedom from using sex based spaces they are not comfortable with, and we let women with issues that need a bit more understanding and thought than this, have a comfortable space too?
Bit more kindness needed.