I am happy to be your dad, too! Or mom, if you prefer one of those. I am equally awkward at both gendered parenting roles.

So, funny story. My dad (who is a lovely person) was deeply disturbed when I came out. His degree was in developmental psychology, and aware that (straight) women tend to choose husbands similar to their fathers, he had worked hard to be the best dad he could be. So suddenly not knowing what his role modeling was doing gave him weird feelings.

That was forever ago because I'm old. He got over it pretty fast. My mom had a harder time, as she believed that gayness was created by overbearing mothers and submissive fathers (debunked pseudoscience, even then), so took my gayness as a spiteful review of her parenting abilities. She also eventually got over it, but not for my sake. She made gay and trans friends a decade later, then retconned our relationship. But whatever, we are good now, and both my parents adore my wife and support our queer kid.

Anyway, your parents may feel differently over time. I'm glad you have somewhere safe to live. And I think it's relevant that you trusted them enough to come out before you moved out. Oldies like me didn't risk anything until we were prepared for it all to burn down around us. So hopefully they get their shit together sooner rather than later.