Hi blue, I'm sorry you are experiencing this behavior with your sister. Sometimes we have to step away from something toxic for our own wellness. There's nothing wrong with that.
I would say it might be beneficial to remember that people grow and shift over time. Any number of things could happen in the future to bring you and your sister to a healthier place together. Maybe close the door, but remember the window for the future?

I had to cut ties with my mother for 15 years or so, but we were able to reconnect recently. Don't lose hope, ok?