Cassie, lots and lots of posters here do not have a gender identity. The GC view is that the gender system is a regressive box that stuffs people in boxes based on stereotypes than almost no one actually fits.
I appreciate that you believe very strongly in gender, but, as a religious person myself, I understand that you cannot reasonably expect everyone around you to accept your belief system.
There are many situations where women have won rights and protections which are sex based and not gender based.
Sport is sex differentiated because men and women are physically different and z male body has significant advantages over a female body.
Certain places are sex separated because women, by virtue of their sex, are generally smaller, weaker and, being possession of a vagina, vulnerable to rape and possible pregnancy.
Women face discrimination at work because of their sex - because they are perceived to be the main carer for children, because they are the sex which bears children (even if they never do, or never intend to, they are judged by their childbearing capacity and often held back)
There exist political women's shortlists because women face this endemic disadvantage because of their biological sex.
None of this is because they feel like women. It is because they are women, whether they like it or not, due to their biology.
This is not about toilets. This is about saying, yes, transwomen are as entitled to everyone else to be safe. The gender binary is a horrid system and I will work with you to dismantle it.
But these sex separations exist for a sex based reason, and I will not sacrifice the rights and safety of my sisters to do what will only reinforce the gender binary.