being a single mother is not as hard as being a so call healthy family with a "not worthly father".
As long as you give your daughter enough love and attentiion, there should be no problem at all. I have two daughters, everybody said i did a good job. they are happy and emotional healthy kids.
I can tell you kids from a healthy family with busy mom and dad may not be as good as kids from a single parent family with a loving and caring mommy or daddy.
first, don't make the assumption of being a single family kids is not good. second, don't make the assumption of being a single mother is hard. my life althought physically hard, but emotionally easy. I am sure i would have been crazy if i need to raise my daughters together with my ex c6. and my daughters will not be as healthy as now, because they will have a irresponsible father and a emotionally unstable mother.
but now, they have a loving and healthy and a mother with ability.
so, trust youself, trust that you have the ability and you and your daughter will have a better life without the bad father/your bad ex husband!