Okay, I think I grasped a new concept that helps all of this make more sense to me.

Masculinity and femininity are different things altogether from gender identity although they can interact.

For example, a man can have all attributes normally considered womanly: caring, intuitive, verbal an no attributes considered manly: confidant, dominant, logical. But still feel very much like a man. Or he could have "manly" attributes and feel like a woman. So, the feeling itself, doesn't have to do with whether you identify your personality to man or woman stereotypes, but simply, what gender you feel you are, possibly because of brain structure, etc. Anything is possible.