Shared gender identity of "woman".
That's it.
A common link usually also involves feminine names (like "Sarah"), labels (like "actress"), and pronouns (like "she"), but the more we get to specifics, the less universal these things they are.
Because there's more than one way to be a woman, and women, both cis and trans, are all different.
This reads exactly like it is written by a person who has no female lived experience.
We are now being told yet again that a name and a pronoun preference is the description of womanhood.
Let's try
'a human who has the body formed around the production of large gametes regardless of that body's ability to perform that task'.
Let's see if it works with your comments back to Bernard, Seldom.
Bernard: if healthy, working correctly and in the right age group
Seldom: That's quite a lot of exceptions there. What stops one from also throwing in "wasn't assigned a different gender at birth"?
Doesn't matter about those 'exceptions' now does it? It is about the formation of the sexed body and you have no need to bring in differences of sex development or any female's medical conditions to try to disprove the statement.
Bernard: do you accept that having that kind of body gives those people unique needs?
Seldom: Are these needs universally shared by all non-trans women? If not, I see no reason to exclude trans women from the definition.
Yes. Because regardless of whether or not that persons body is performing its task for whatever reason, the unique needs remain grouped around that body form. And not a male's body form, regardless of any medical treatment that male has had.
Bernard: do you think they should have a word for themselves so they can organise to ensure those needs are met?
Seldom: Plenty non-trans women don't have those needs, but the word "woman" still includes them, so why shouldn't it also include trans women?
Bernard is quite correct. Those people, women = adult human females, require a descriptor that refers to their unique body formation and thus to protect them for the sexist discrimination they have experienced from birth (or before birth). There are plenty of experiences around that body formation that not all women will need to address, but there will never be ONE experience around that body formation that those women will need to NOT address.
Transitioned males have their own unique needs, of course they do. But they will not experience any of the same experiences that a woman will regarding her body's needs. Because they will always be from a male body perspective and their cosmetic / hormonal treatments as those have impacted their bodies.
Please list exactly what cross-overs any person with a transitioned male body will experience that is exactly like the experience of a person with a female body.
Your attempt at a sleight of hand and some modern form of philosophical thinking around labelling cannot actually obfuscate the truth.
And nor does a name and a pronoun.