Do you believe the same for people who violate religious taboos?
Regardless of the answer, we're far afield of the original discussion, and I'll not pursue this thread further.
Though, I do empathize -- it must be highly embarrassing to have racism, sexism, and other bigotries noted as being offensive to people in public. Triumphalism, often a result of religious fervor, masks that in an echo chamber, so social media can be jarring for folks in such a situation.
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PS
>> If that's not sexist, I don't know what is.
This fact is quite apparent that you don't know what sexism, and somehow think it applies in a situation where a trans fem wants to be in a situation more protective than forcing a locker room share with her sexual assignment at birth. What your assumed resolution, coached carefully by pollsters no doubt before being coached through formal and informal propaganda channels, actually is is transgressive and probably unnecessary. Though to redefine sexism as "not respecting of gender norms my religion requires me to prefer" is quite a stretch