@Disillusioned JW - you're minimising the role and importance of sex chromosomes.
Fertile human females have XX chromosomes. A trans-woman can never have a baby.
Fertile human males have at least one Y chromosome. A trans-man can never father a child.
These facts don't matter too much when we're talking specifically about trans women athletes wiping out the XX competition in women's sports, but they do matter when we're discussing what a woman is and what a man is, and what they've evolved to do (hint: they've evolved to f**k and have babies).
The broader issue here is that human interaction is a two-way street. Trans women may identify as women but not everyone else will see them as that. And, really, both opinions are fine.
I may identify as a nice guy but some people will see me as an asshole. The problem here is that trans activists are trying to force people to share their particular views, and demonise them if they dare to have a different opinion (e.g. see JK Rowling).