Things that are unusual can still be "normal." Unless you consider left-handedness "abnormal."
Cecilie, as much as she tried to run away from it, had an excellent point. But it's not just "unnatural" and "abnormal" that are the loaded words. They are loaded because their root words have come to have values judgments attached to them, too.
More semantics. You seem to need to put words in people's mouths so you can argue. We went from gender to left handedness. Those are the same to you?
First - YOU used the word natural. I am building from your arguments.
Second - gender identity and handedness are absolutely comparable.
Being a lefty is unusual, and was therefore once considered unnatural (with all value judgment it implies). It was even deemed evil. Teachers and parents would change the child's handedness to the right. The child would eventually adjust, but the very act of writing with the right hand wasn't natural to them. And so the child's inborn inclination was squashed and directed to something acceptable to society.
Identifying with a different gender is considered unnatural, some even think evil. Teachers and parents have tried to change how a child acts to go along with their biological gender's accepted behavior. The child eventually adjusts, but the very act of pretending to be a gender they don't feel isn't natural to them. And so the child's inborn inclination was squashed and directed to something acceptable to society.