You are very brave.
Your father is no doubt an indoctrinated victim of the evangelical gender binary concept, gleaned from the Jewish Old Testament, where men are forbidden to dress as women and vice versa. That same OT text also says to stone anyone who commits adultery, talks back to parents, carries something or walks very far on Saturday, etc., so to pay attention to a few isolated verses from 4000 years ago, and to ignore all the others, is an example of religious patriarchy control/persecution of others.
Most trans people I've read about report that if they leave their rejecting family members alone and go on with their own lives, eventually social awareness catches up with the disapproving relatives. From movies, TV shows, news, friends, etc they usually eventually start to realize they are out of touch with the times, especially if their own friends begin to criticize them for rejecting you.
Parental disapproval of trans children is, in their minds, supposed to shame them into playing their usual, socially accepted, gender roles, which reflects well on the parents. If you are an aberration, that potentially exposes your parents to criticism from their own older relatives, who might see them as "failures," as well as you.
In the meantime, moving out sounds like a good idea.
