"Women" is a social construct and so a woman is defined on the basis of how she socially identifies.
What does this mean?
"socially identifies"
People use such nonsense phrases without challenging themselves as to what they actually mean.
I 'socially identify' as having two legs, blue eyes, and having ovaries. Does that make sense? Perhaps I can claim there are two ways to have two legs. The material reality way, and the "I fail to meet the material criteria so I'll claim there's a social identity way to have two legs, whilst actually only having one."
If claims are to carry any weight, they must still be capable of explanation using other words.
"I socially identify as having two legs"
= I'm bipedal. Two has a meaning. Legs have a meaning. I have two legs. This is a material fact. Count my limbs and verify it for yourself. If I was dead or unconscious this fact remains unchanged. It's therefore not an identity.
So
"I socially identify as a woman"
= I'm adult, human and female. Those words each have a material meaning. Assess me against those criteria, test my claim. Verify it for yourself. If I was dead or unconscious this fact remains unchanged. It's therefore not an identity.
Material facts are not identities. They're verifiable descriptors. If you fail to meet the criteria, you cannot claim to 'identify as or with' those material states, it's ludicrous.
There's no alternative way to have two legs, other than having two legs. That's the only way to be two-legged. Anything else simply means "I don't, but I wish I did."
There's no alternative way to have blue eyes, other than to actually have blue eyes. You can copy the clothes you see blue-eyed people wearing, eat the food you see them eat, go to the places you see them go. But if you try to claim that "this is the social way to be a blue-eyed person, it's valid for me to identify as blue-eyed because I like what they like" your ridiculous claim would be dismissed. Not only does it ignore the material reality that makes eyes blue or not, but it makes sweeping and easily disprovable claims that there is a universal set of social traits that all blue-eyed people share, and no other eye-colour has.
It's a fundamental confusion between AM and DOES.
Woman is an AM material state.
All other claims that it can be a 'social identity' are a false trail from
Some [AM material state] DO this
I also DO this
Therefore I AM material state.
It's false reasoning.