runagays-blog:

derived from the word ‘private’ privagender is a gender personal to you that youre not so comfortable outside people seeing/acknowledging for whatever reason (besides being closeted or fearing oppressors). this can be anywhere from not wanting to be called x gender to wanting people to ignore that youre x gender at all. but you still accept your gender and love it.

usually you have another gender as well that isnt private, but you dont need to.