The standard definition of ‘Gender’ that you will find anywhere is that it is socially constructed. It is a picture/sense/idea of roles and ideals that are common/shared within a huge group of people. These are cultural stereotypes.

The standard definition of ‘Gender Identity’ is a person’s own ‘sense’ of gender. What they feel/like/identify with: what they ‘perceive’ their own gender to be. Feel free to google it anywhere.

The second notion relies on the first. One cannot have a sense of ‘man-ness’ without first having his/her own personal sense of what it means to be a man. This can either be a personal and unique view, OR it can be a reflection of the cultural stereotypes that reflect ‘Gender’.

This has nothing to do with viewing gender theory through a lens; it has to do with following the ideas - as they are taught - down to their root. I am not adding anything to them, simply unpacking what they MUST mean.

In short, there are only 2 options:

A woman is someone who identifies as a woman. And I can identify anything with womanhood. Therefore a woman is someone who identifies with anything. (ie: your butch lesbian trans woman)

OR

A woman is someone who identifies as a woman. And society’s common gender stereotypes define what a woman is. Therefore a woman is someone who identifies with society’s common gender stereotypes.

In the first case, we are left with nonsense. By that definition, EVERYONE is a woman. In the second case, we are left with an insulting caricature that excludes the vast majority of women.

Following the ideas down to their root, I see no other option. Gender, by definition, is an overly simplified and made-up concept. Saying that I ‘am’ a made-up concept is an exercise in nonsense.