Suppose we give you woman . But we sort the mess out, clarifying the law, calling things like England's adult human male/female football team, adult human female toilets
Any better?
Fundamental mistake in this suggestion. Transwomen are already described as female, mother, daughter, girl etc.
There is no way to only give up the word woman.
And that isn't wanted anyway. How can a man get validation as a woman if there's nothing labelled woman for them to take part in? They need women's groups and sports to validate themselves.
The only time they don't want the word woman used is when it's actually about something specific to women, e.g. giving birth, then the words woman and mother must be removed.
I'll give the TRAs one thing, they definitely understand the power of language.