You were assigned a sex at birth. If you have female genitals, you’re a female (the sex, not the gender). That’s what gets assigned at birth. Doctors don’t give a shit about gender, and do not assign it when you are born. Gender is a societal construct, and something you adopt as you age/learn. Sex is for the purposes of identifying you for paperwork/citizenship.

I really hate this prevailing idea in trans communities that doctors “gender” you at birth. They don’t. They issue a classification of sex based on your genitalia for the purposes of identification.