Triangulation by my mother

Well, I'm honestly out of my wits because she's getting even more insane.

Hear me out: in 2014 my mother accused me of killing our cat, because I pushed him away from me. He had cancer, the vet checked him and he was getting injected for leukemia. Even though it was all happening right under her bloody nose. But okay, not getting emotional here.

Now she's accusing my father of killing her dog, even though she refuses to go to vets and get the dog checked. And writing me a sob story about how much of a monster he is and how she cried.

He's not a saint, never protected me, used me as a bait, but he's been through a lot, half of it self-imposed but nonetheless.

I'm in another city, far from them, but she still stalks me online. I changed everything, even my name. It's just terrifying how this woman can suck the life out of any living being. I feel how angry she is even being far from her, how do I protect myself?