I grew up in an abusive household with my mum before my grandparents took over and I never had anything to do with my dad and I can't say that has had any reflection or impact on my love life. I have been in the same relationship for the past 7 and a half years and its really good and going from strength to strength. I don't have a distrust for men which is quite common in girls if they grew up without a dad or were abused by them and vice versa with men having a distrust to women if their mum abused them. I also don't feel like I am worthless or don't deserve love because I wasn't shown much by my mum as a child and none from my dad. I never settled for the first person who showed me interest either which seems to be a common misconception that those from broken homes always tend to latch onto love or any kind of attention they can get. That can happen, but not always.
I do think a bad relationship with either parent can affect all aspects of your life such as your education, relationships, mental health etc but it doesn't always or at least doesn't affect your life drastically. I wouldn't jump to the conclusion that you wont ever have a successful relationship because of your mum issues. It was more likely that the relationship just wasn't right and wouldn't have worked out even if you didn't have any mum issues.