Fascinating. You may be the only person on this forum, and darned few people in the world, who would share that particular combination of interests, and because of that, there is a question I have asked many times that I never get an answer to. Most people recognize it, quite correctly, as a ploy to support a position on the practical aspects of transgender issues but you, nearly alone of all people who discuss these issues, may be interested in the actual definition of "man" and "woman", as opposed to some practical aspect that a given definition would imply.
So, let me set up my question. First, I assume you understand what most of us mean by the following terms.
trans-man
cis-man
trans-woman
cis-woman.
Now, the question.
Do you have a definition of "woman" that meets all of the following criteria
1. The definition includes all cis-women.
2. The definition includes all trans-women.
3. The definition excludes all trans men
4. The definition is not circular.