How do I get through to my mom?

I’m an adult trans woman of 26, and realized I was trans back in March. In June I told my mom, whom I love with, I was her daughter and she was physically sick to her stomach. She said I had broken her heart, and had me see a psychiatrist she knew for “adulting” and for an autism eval. The psychiatrist told her he couldn’t disapprove I have gender dysphoria, and told me that he would suggest a councilor for us to go see together, if she asks him.

It’s been four months and I’m not treated as a trans woman at home, even though everyone knows. My mom, my mommy, means the world to me. I have nightmares reliving her telling me I broke her heart.

I just want to know if someone here could help me see things through her pov. I know she loves me a lot. She sent me to good schools (including an all boys hs). Shortly after I told her I’m trans, she said she wanted me to move out. She hasn’t mentioned it since, but I have a plan to move out lined up. But I don’t want this to end what we have. She’s politically a progressive person. I just don’t understand. Wouldn’t she be happy to have a daughter?