Here's the thing.
In English, the word "woman" comes from Old English and predates the Norman Conquest by hundreds of years. If you were to travel back in time to Saxon England and try to have a conversation with someone there, not many words would be intelligible to you, but "woman" probably would be. The same is true of "frau" in German and "femme" in French, and I assume most other languages.
This is because it is a word which is absolutely fundamental to our understanding of the world and our place within it. It is not a "nice to have" word, such as "consequence" or "regal" or "suspicion". It is not a word for something that has been recently invented or discovered, such as "computer" or "antibiotic" or "passport". It is a word which even the most primitive human societies needed to have in their daily vocabulary, which is why in most languages it is a simple word with an etymology which can be traced back for thousands of years through multiple predecessor languages, and with a meaning that has remained utterly stable until the 21st century.
If your "definition" of the word "woman" runs to four pages and doesn't even produce a clear answer at the end of it, your definition is not good and you need to go back to basics.
People living in the 21st century need a word for "adult human female" just as much as the Romans, the Saxons, the Vikings and the Ancient Greeks and Egyptians did.
If some of them feel they also need words for new concepts, such as the 72 recently invented "gender identities", that's fine. They're free to invent them.
But the word "woman" is taken, and has been for thousands of years.