Toxic mil

How do I distance myself from my toxic mil? She told someone that I’m “moody when it comes to her… jealous of her and my husbands relationship, she has to fake it with me” my husband agreed that I am not jealous of them. He said himself his mom might be jealous since another woman is in his life (meaning me) before when it was just them two living together. I told my husband what she said and he plans on speaking to her. He thinks he’s gonna hurt her feelings by confronting her but I’m like why would you feel bad she didn’t feel bad talking shit about me. Anyways, I don’t want to deal with her, she’s fake and even if I confronted her she’ll still be fake with me. So I’m curious how do I distance myself? Like do I just not answer any phone calls or texts from her? Or do I have my husband tell her something so we don’t need to communicate?