She may bad mouth you to others that you are ‘cold and unfeeling’ when you go no contact, but she also probably bad mouths you when you try to be what she wants from you. There’s no pleasing some people so do what’s best for you.
There’s this nice fantasy that we have this loving family who we only occasionally see or talk to, but this is sometimes just an illusion when we fall out with them and realize the ‘loving family’ was never truly the case.