The Olympics has been dealing with the question of womanhood for a very long time. For a while they were literally stripping and groping female athletes. Later they did chromosome testing, until they discovered intersex individuals who confound that theory.

Even their current testosterone-levels theory is imperfect, since some people have obviously female bodies but inordinately high testosterone levels.

So they seem to be muddling along about as well as they can. If they want to have a separate women's category, it's a question they're going to have to answer.