My Family Disowned My Gay Cousin. I'm really afraid.

My cousin has been in a relationship with someone of the same sex for a couple of years now. It's a completely organic and nontoxic relationship, but ever since this happened, my family completely erased her from the picture. I was raised Christian my entire life, and I have struggled with my own sexual identity since I was a kid. After seeing what is happening in my family, I can't imagine coming out. I don't want to lose my family. But I also don't want to lie to them. I dream of one day being with another man in a good relationship without massacring my family ties. But this is just living proof that won't happen. Any advice? I'm really afraid and I don't know what to do.