You really can't do this topic justice without covering the fairness issue regarding performance-enhancing drugs and gear (and surgery, if applicable).
Well, you can if your point is that there shouldn't be separate men's and women's sports at all. You do sorta trend that way without flat-out saying it. In casual sports, that's totally cool. But once you get to the elite levels of competition, small advantages make the difference between glory and obscurity (hence the fixation on performance-enhancing drugs). "Natural" variation is usually considered fair game, but anything else is not. In almost every sport, men have big advantages, and the question of "did our medical intervention as part of gender-affirming therapy completely eliminate these advantages" is a complicated sport-dependent one. If the answer is ever "no, it didn't", then the situation wasn't natural (because presumably the trans person wouldn't have been allowed to compete when fully morphologically and hormonally male), and you need a very good argument for why this should be viewed any differently than a performance enhancing drug.
Without covering this, you're not really even addressing the issue.