I'm so sorry you have this going on...
Don't let anyone get you down, even if it's a family member.
Not everyone has an empathic character, I've learned that through the years. It's horrible that after a long battle for recognition, then finally getting treatment and not getting any help from a close family member.
I know it sounds harsh, but we have a saying in my language (I don't know if it's the same in English): one does not choose your family... sad but true...
You answered in a good, calm way, that's difficult in situations like that... I hope it'll make her think about it...
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