Emily's Cat
Rarely prone to hissy-fits
Works for me, but I don't think you will get LondonJohn to go along.
More importantly, I think there are some very influential policymakers who would not go along, from school boards to the White House.
There's still a problem though. This redefining of the terms "women" and "men" to refer to exclusively gender presentation is being retrofitted across spaces and separations where the words were meant to represent sex class.
So if we relinquish the word "men" to refer to gender... TRAs then recast "Men's Room" to mean a restroom or locker room segregated on the basis of gender. Which is absurd, because we all know damn good and well that those restrooms and locker rooms are separated on the basis of sex class.
Additionally, it leaves us without meaningful words to represent the sexes of humans. The terms male and female are agnostic of species, they represent the sex classes of sperminators and gestators. But other species have terms that represent "sexually mature female of species" and "sexually mature male of species": Boar/Sow, Bull/Cow, Lion/Lioness, Mare/Stallion, Duck/Drake, Goose/Gander, Hen/Rooster, etc. But by relinquishing the words "woman" and "man" to mean something separated from sex by a mysterious internal feeling... we are left without the language to refer to "sexually mature female of the human species" and "sexually mature male of the human species".
And all of that is somehow assuming that you can convince the recent crop of dysphoric people to ONLY use "woman" and "man" to refer to their gender, whereas quite a few are busy trying to coopt "female" and "male" for themselves because they've decided that sex is somehow mutable, and if a male grows some tits and has a higher level of estrogen in their system, that makes them "female".
The only way to win is not to play.