Cutting off my toxic mother?

So my mother treats me like shyt and resents my son because he looks like me. This has been going on since I was a little girl my mother emotionally and mentally abusing me now she's bringing that toxic behavior to my children trying to turn people against me including my oldest daughter, ex husband, and anyone who comes into contact with her. I'm convinced and know for a fact she's a narcissistic mother who has OPENLY ADMITTED she hates me and can't stand me from birth. I told her tonight I was cutting her off and I don't want anything to do with her - I also don't want her around my kids because she's a bad influence and I don't need this abusive toxic behavior being passed down to my children.

I'm trying to heal from her emotional and verbal abuse she's inflicted on me since a child. She was recently in the hospital damn there near death and I didn't show up.
Updates
1 y
I have no emotional connection with her because she's mistreated and abused me since I was a child.. still is doing is by seeing my baby sister as her favorite.. even turned my sisters against me why we don't have a good relationship. I'm prepared to cut off everyone who mother aligns with including my grandmother. Advice is needed in how to heal from this? It's never going to get better between us.
Cutting off my toxic mother?
Post Opinion