Jfc, some of the responses in here... You are not being honest or true or being frank, have some empathy ffs. Thank goodness OP is a very intelligent and self-spoken person, you go, OP, bravo! I applaud you for the responses you gave!
As for the situation itself, I feel that all I can say is that it will take time and effort for both parts. You'll need to be very patient and strong because I feel that these comments that come from religion beliefs will take some time to disappear. Unfortunately that's the way she was taught to think and see the world and to deconstruct that will not be easy.
While doing that you'll need to think on how you present her with the information she needs. The idea of LGBT friendly churches is amazing. I'm sure there are also a series of books and movies about mothers that went through this and how they learn to accept their sons, they can help and maybe in those churches she can meet those some of these mothers herself.
Also focus on being safe, we don't know how she or other members of your family will handle when you show them that you are not going to deny and hide who you are or when you start to educate them.
She does love you. She just thinks that our way of living is wrong, dangerous and that will hurt you (like literally sending you to hell or maybe giving you diseases like some think). She wants what she think is the best for you, show her that being yourself and still receiving her support and caring is what you need.