There are men who are gentle souls, who treat women with the respect that should be accorded to human beings regardless of their sex; and I'm sure there are transwomen among them.
I do feel a genuine sympathy for them because, as others have said, they simply want to live their lives without fuss and hoo-ha, and of course the recent ruling will make life difficult for them. I don't know what their perception of womanhood actually is, but whatever it is that propels them to identify as one - obviously, they would probably feel more comfortable in a woman's changing room, toilets, etc. Personally, if I knew such an individual, I would be happy to share the space with them, as I was happy to share the intimate proximity with the transwoman who was the leader of the interest group that I once belonged to - but that's because I knew this person, this transwoman who was one of the 'gentle souls' mentioned.
... and that's the issue. We don't know the transwoman who prefers/demands/insists on using the toilet/changing room we've just entered...
Because the TW activists have been so aggressive, so demanding - with threats of violence if we don't concur - we are now in the position where we now regard all transwomen as possible predators.
And the answer is not to tell women that "you most likely wouldn't even know he was a transwoman" or "most transwomen are not a threat", etc, etc - because that is putting the onus, as usual, on women.
The problem is men, their aggression, their threatening and sometimes predatory behaviour, whether they be transwomen or straight men. It is they who have to change. As I said earlier, we have managed their behaviour, their emotions, their wants and needs, since time immemorial probably. It is not up to us to 'budge over' yet again - they have to change. It's not impossible, there are millions of men who have managed without too much fuss or effort to be decent human beings.
It is not our problem, the ball is in their court.