We have had some discussions here about "what is a woman?" I am still a supporter of the idea that a person's sexual self-identity depends on more than just the plumbing. However, we have been bouncing around the definition of "woman" because people want to make a more inclusive statement. The question stems from a need to identify a person's gender for various purposes such as simple as which rest-room they should use and as complex as whether they would qualify as a small disadvantaged business for government contracts. Yes, a woman-owned business DOES qualify as an SDB for U.S. Navy contracts. I worked for one for almost two years near the end of my career.
The issues we face in this discussion relate to identifying a woman or a man. There actually IS a simple test that would eliminate most of the ambiguity but in this progressive liberal USA political morass, it is not to Democratic advantage to be restrictive..
In the video, the definitions for "Man" and "Woman" depend specifically on the "potential biological role in reproduction" (without regard to whether reproduction actually occurs). When dealing with things like sports competition, this test always resolves the question.
I am still in favor of allowing people to engage in same-sex marriages for a simple reason: People who do that can adopt kids - but they have taken themselves out of the path for biological reproduction. So in that case, who cares what they do... and why WOULD you care? (Rhetorical question...)