You are not doing a bad job. Don't judge yourself. You are doing the best you can with what you have. Not having his active alcoholism in the house is way better than having him there confusing and hurting everyone in his destructive path.
Your baby will be fine. Pray on it and keep nurturing her. Take it one day at a time. Right now she is safe, warm, and she has her momma to look after her.
Let your tears flow and keep hope alive that you and your baby will heal from this and be stronger in the long run.
Love and Light,
Lily