These competitions are stupid. Forget woman’s and men, make it X & Y chromosomes. The freaks can get anything chopped off, added on and as much estrogen and testosterone that they want, but they will never be able to modify that! It’s the only way to shut these assholes down.
Technically it is possible to be XY and anatomically female if the part controlling secondary sex characteristics breaks off the Y chromosome during meiosis. It is also possible to be XX and anatomically male if that part of the Y chromosome attaches to one of your X chromosomes. It is very, very rare but I suspect that’s why they have avoided using chromosome tests.
Better to go by plumbing. If it doesn’t have a real vagina, a uterus, or ovaries it isn’t female.