If it means something individually for each person, then it shouldn't have a GROUP name that labels everyone the same should it?
If I intended to express something about my individuality, I wouldn't choose a word with a pre-existing meaning which encompassed 3.7 billion other people to do it.
Either it's a shared noun for a huge group of people, in which case the group characteristics are also shared and can be objectively described
or
it's an individual thing, in which case there should be 7 billion individual words for it.
I am human and female. As are 3.7 other people. Woman (or girl) is the word to describe us.
Any other characteristics a person believes themselves to possess can be better described using a more suitable word.