However, trans people have made it clear they would like to be called transwoman.
Earlywalker - "transwoman" is actually considered to be an offensive term by TRAs. It has to be written "trans woman."
Maybe this is a minor nitpick but I think it gets at something deeper. You're imagining a world where the accommodations needed to make trans people happy are slight and reasonable, where it's easy to tell the difference between a legitimate trans person and a predator, and where the police take sexual assaults and sexual violations of women seriously (I had to laugh at your statement that the police would investigate if someone was flashed - where do you live, to believe that?) and in that world, we're all being quite mean to be so concerned about trans issues, it hardly affects us at all.
But in the real world, a lot of TRAs make extremely unreasonable demands and threaten violence if anyone raises concerns, an increasingly large number of men identify as trans because they are opportunistic sexual predators while trans ideology is opposed to the gatekeeping that might prevent this, and the police don't give a shit about women's safety. So in the real world there really is a cause for concern.
It seems like you keep trying to imagine this very convenient hypothetical world because you can see that these concerns matter, but you think that there's a conflict between being concerned about women's safety and caring about your friend. TRA propaganda has been very successful at convincing everyone that if you care about and want to protect women, then you hate and are opposed to trans people. But it's not the case.