You don't need to make things so complicated. A man is the word for an adult human male and a woman is the word we use for an adult human female. We don't need to mess around with the meaning of those words. It serves no useful purpose other than to obscure and confuse.
This confusion was a conscious contruction of post modernist theories which postulated that you could revolutionise society through the manipulation of language. That we could be anything we wanted to be through altering the social meaning of words.
An adult male, a man is free ( in our society, anyway) to express all of his potential - within the bounds of social rules of behaviour - as is a woman. We can do this without having to so self consciously role play opposite sex 'performances' - but we are also free to do that should we like ( within certain social constraints)
What you seem to be trying to do is to detach the Self from biological reality, as I suggested earlier, by saying that we are not our bodies; that our bodies and our biology has no material or meaningful impact on us at all. I can see how this is an off-shoot and outgrowth of certain strands of feminism in which the female body and female biology, in particular, is seen as oppressive.....and of western concepts of individualistic, free expression and free choice.
But I suggest that denying the reality of biological sex and the consequences of it is a fool's game. To a large extent we are our bodies; we are our circumstances. We are not all 'free spiritual beings' or 'souls' floating around in a world of dense and restrictive matter looking for a place to call home. We are all born into a certain set of conditions which shape our experience. We didn't 'choose' any of them.
Sex Matters, and it matters to women, especially......which is why we have developed certain protections and safeguards. You cannot change your sex...though as you intimate....our sex does determine and shape our life experiences and choices...no matter how much we long to be transcendent beings with no restriction.
At the level of sex we are creatures like any other.