Hi D.,
I used to be a social worker. As you may know, that line of work requires a lot of experience. I have worked with many abused women in the past. Actually, a broad range of women in abusive relationships from lesbian relationships to prostitutes to low socioeconomic status, etc. I've witness some awful things women go through, some, incomprehensible. Everything you are saying is right and you should definitely not let him see her alone. In fact, maybe not at all. If you do want him in your daughter's life, then make sure you always have a 3rd party present, but then again once your daughter grows up, she will figure out that the 3rd party is there because you don't trust "daddy." Then she will question why we don’t trust him. So, maybe it is best right know that you don't expose your daughter to any of that. You are a good mother I’m sure and it is our on going job to shelter our kids from harm and raise them in a healthy environment in all aspects of life (emotional, physical, intellectual, spiritual, mental, etc). You can’t ever ignore what you know. I wish you well and if you want a list of programs that help abused women get through difficult times there are many programs, organizations and associations that will help you reach your future goals and improve your quality of life. Let me know if I can get those out to you for your area. God bless.