Your gender is how society perceives you. It is a spectrum between masculine and feminine

Not quite. It's got nothing to do with how people perceive you. A closeted trans woman is still a woman, even though she's perceived as a man.

It's also not inherently defined by femininity or masculinity. You can be a masculine woman or a feminine man, or you can simply not give a shit about masculinity or femininity (this is me). Society defines what we consider masculine and feminine, and creates powerful associations between these behaviours and gender, but the association is "after the fact"