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Nothing cures hurt feelings but distance and time. Create some space between you and them. They dont want help, so all you can do is stand back and let them fail. It's hardest when it's family, but the only way people like that to gain humility and gratitude is to see what happens when they are left to their own devices. Rock bottom is the cruelest teacher, but you learn more there than from the top.
Know that that person is in a lot of pain, and in someway they might have been most embarrassed/ care most about your involvement that they attacked you. But ultimately people in pain say and do shocking things, rationalise that and keep reminding yourself of that logic
Distance and time is true. Sometimes you both get over it and can be friends again. Or like me you may never talk to her again...both of us have never made effort to speak again after 8 years. It is my sister.