I am of the left and do not believe Trans women should be allowed to compete in any 'Competitive Sport' against biological women.
I fully support them to YOLO and live their lives their way, but that does not automatically require access to Competitive sport, when the entire reason a woman's division, in competitive sport was original conceived was to create a space, where people with female biology (sex) could compete against same and not against male biology, which is superior for sport.
The big mistake made, as this trans gender debate emerged was that sport did not instantly realign to 'sex' or 'biology' instead of the now divided gender lines of 'men' and 'women'. When Competitive sport was created they never conceived the split between gender and sex, and thus the terms were considered synonymous. As the terms split, they did not react which caused this issue of 'Mens' and "Womens' divisions. IMO, had they instead stated, right at the beginnings, 'In the truest pursuit of equality in sport, we will realign 'mens' and 'womens' division to biology, which allows everyone born with the same biology the same access to compete against one another, excluding no one', I think this debate would never have got the legs it now has.