I'm really trying to understand where you are coming from ASugar. Because I believe that only if we understand each other can we engage productively. You say a woman is
Someone who uses she/her or she/they pronounce and identifies with being female or a woman.
Is the pronoun condition necessary or conditional? If it is necessary, are there in your view no women in China then? Or in any of the (roughly) two thirds of the female population on this planet who speak languages that do not use sexed pronouns?
If it is conditional on the existence of pronouns in the language used by the person identifying as a woman, we can dispense with it as part of the definition. Because I hope you would agree that women exist everywhere on this planet, and not just in populations speaking gendered languages.
So, then there is the problem that you are mixing two things in identifies with being female or being a woman. By your previous comments it's clear that you define female as denoting sex and woman as denoting sex stereotypes ("gender"). You state unequivocally that one cannot identify as another race, age, height or disabled, because those are material fact. Facts that one can prove by various means or tests. So applying your logic consistently, one cannot be a woman based on merely identifying with being female, as this refers to the sex class - a material fact that can be ascertained by various tests and you have already rejected that one can identify as something that is a material fact when one does not possess/ that material fact. You have also stated unequivocally that one cannot change sex. So I suggest leaving out that part of your definition because it is contradictory on your own terms.
Which leaves being a woman based on identifying with the sex stereotypes associated with women.
In order to identify as something, that something must have a meaning. Saying I am a snargel because I identify with the stereotypes associated with snargels will always leave your audience at a loss as to what you identify as if you don't explain what a snargel is. As gender has as its referent sex, and to avoid a circular definition, I shall replace one instance of woman. So would you agree that your definition of woman as parsed by me, is indeed:
A woman is everyone who identifies with the stereotypes associated with the female sex.
(Your definition of woman is that this denotes gender which denotes the sex stereotypes and sex role stereotypes associated with one or the other sex. For clarity, and because gender and sex are often used interchangeably even when the context is different, I am using the definition of gender here that fits your stated meaning.)
If that is your definition, then we at least have a stable basis for further discussion around women's rights, what they are based on, who needs access to them and how this can or should be reflected in statutory writing (how laws are written).