You can't really group by "skill" (which is why I didn't originally understand what you meant) because sports by nature involves the physical. It is biological fact that the furthest physical bounds men can reach (in most things--in a few cases, like where extreme flexibility is a large asset, women can push further) exceeds the furthest physical bounds women can reach.
Again, though, I don't think trans women competing in sports is going to be so common that all other women will simply be pushed out. Firstly, I think the idea that high-level male athletes (at whatever level we're talking about) will pretend to be trans to win women's competitions is as ridiculous as the fear-mongering that men will claim to be trans women in order to go into women's restrooms as harass women. And secondly, I did mention in my post that I think (at least for pro, adult amateur/college, possibly for high school), trans women should have already gone through HRT which does change body chemistry. Obviously not to the point that they're identical to the usual women's composition, but that has been a standard used before (as I mentioned also, in pro hockey). I don't think there are going to be so many trans female athletes that aspire to top end competition (i.e. where the final results matter more than just competing for enjoyment) as to push out all other women.
