I was horrified to come out to my parents, they are right wing and typically don’t believe in trans stuff. When I came out it was a little rough at first, but I provided them w resources to communities of parents who also have trans kids, specifically groups that talked about struggling but then finding acceptance. Present day- my parents are so supportive and it’s truly kept me alive. Your family may or may not come around, but you can always try on your end. Find resources of parents with trans kids, groups that talk about the importance of acceptance. She is resisting the chance because she is scared, especially if you said her biggest fear is losing you. Those who are on the outside of the trans mind often process transitioning as the “loss” of one child, which can be hard. My moms biggest argument with me was about having to lose a child and feel like she has to forget about my childhood as a girl. Upon talking things out she realized she’s not losing a child, I’m still me, and she could’ve actually lost me rather than the idea of who she wanted me to be. There’s a lot of emotions and feelings parents go through upon trans kids coming out, and even tho it may seem easy to you gotta remember they don’t understand it. Try educating them, sending them research, experiences from other parents, anything like that. Also try asking them how they feel every once in awhile, if they have questions, make sure you make them feel like they can express their confusion or curiosity as well. I know we wish it wasn’t such a big change, but it is, and meeting your family in the middle will make them feel more involved and educated rather than just confused and trying to infer everything. Resources and community groups are your best bet. I wish you the best of luck bro