This is a useful definition, but unfortunately does not fully include all women.

Some people do not have a subconscious sex in the way you mean it. While some of those people decide this makes them agender, there are others who in the absence of a subconscious sex remain their assigned sex out of inertia...they have no reason to be anything else. I suspect there are more of these people than we think and have contemplated that I may be one of them. I experience no sense of dissonance if somebody calls me sir, accuses me of being a man, etc.

Somebody without a subconscious sex who is assigned female at birth and remains so is still a woman. Theoretically if they transitioned from male to female they would also be a woman, but I suspect that without a subconscious sex there's no gender dysphoria to push transition or gender euphoria to pull it.

So I would expand it.

A woman is an adult human who's subconscious sex is female or who lacks a subconscious sex and has chosen to entirely live as a woman.