The main problem is that "they" already have confused us:
At birth doctors are assigning the sex = male / female on obvious objective biologic markers or signs (-> assignment).
Gender is something you identify with (in your mind according to feelings, thoughts, indoctrination, make-believe) and all signs, "assignments" and signalling is created, chosen by yourself, chosen identity = something you identify with. It is a subjective choice and therefore no assignment.
The main problem is that "they" already have confused us:
At birth doctors are assigning the sex = male / female on obvious objective biologic markers or signs (-> assignment).
Gender is something you identify with (in your mind according to feelings, thoughts, indoctrination, make-believe) and all signs, "assignments" and signalling is created, chosen by yourself, chosen identity = something you identify with. It is a subjective choice and therefore no assignment.
sex assignment / gender choice
https://en.wikipedia.org/wiki/Sex_assignment