Your husband is manipulative. He hated your suggestion to non-monogamous marriage but afterwards had an affair outside your marriage, and even bad mouthed you to the woman speaks a lot about his hypocrisy.
Then he blames you for mudering a cat, an animal, to cover up his guilt. Holly, leave that marriage. You won’t find the peace and respect you deserve.
Don’t believe his words; read his actions. Now you’re feeling guilty and overlooking the other ways he has disrespected you—a perfect replica of a manipulator.
You have walked out on the marriage before, that’s a sign he isn’t right for you.
I have dated someone like that. Leave before your mental health becomes irreparable.