She's lucky to have you, a parent who loves and cares for her. And I think that it's good for her to see and know at an early age that no matter how much we love someone we don't tolerate abuse and cruelty. You're doing her a great service by demonstrating that to her. It's such an affirmation of the importance of your lives.
Hard and painful as it was, no matter what my A's problems were, or how sad or tragic it all became, his problems were his business and he had to carry them. He had no right to inflict on me and others. Hugs to both you and your sweet daughter.