Och, they way I want it to work is, if you are kind and respectful then you reap what you sow.
I wouldn't dream of entering a place of religious worship, or different culture, disregarding their rules, and mouthing off about my right to do so. That would be rude. But if I was kind and respectful towards where I was, then I would be made welcome. No one is so unicorn special that they have a right to behave in this way.
This is turning into a fight about semantics, and it needn't be. No one, I imagine has any problem at all with a nice person who identifies as Trans. Or a pleasant person who identifies as Woman or anything else.
It is the pests on either side, who goad, and wave around their sense of entitlement like a weapon. That's who we should be focused on.
And calling out bad behaviour from anyone shouldn't have you labelled as a transphobic, or a woman hater. We really should have each other's back here. No one is entitled to behave in a way which causes pain to others.
Peace out. Xx