Divorce and Custody

I was married in 2010 and i have one daughter born in 2015. I had a lot of issues from my daughter father, like no responsibility, no job, drinking everyday which lead to physical harrassment kind of situation and also did sometimes. I have tried to keep the relationship strong and thought i will change him and make him to be responsible and better person but he never tried on that. I am only earning person and my daughter living with my parents since she born due to my work. I couldn't take care of her alone with office also affordability in the city. I tried to keep the relationship good but i couldn't carry longer with my stress and his behaviour. So applied for divorce in 2019 and he responded once with false alligation to my first notice and after socond notice onwards no response l. Due to pandemic case didn't move forward. Again we sent notice end of 2020 no response hence my lawyer files for ex parte and got my divorce in 2021 feb. I don't know where is he living but heard from my friends that he tried to marry before getting divorce. But not sure about it. Now i am going to marry US citizen applied visa for me and my daughter. But i have fear about my daughter custody whether the ask for custody cleared. Will this be a problem for both to get visa. I have another issue in decree my lawyer did not put my full name while filling the case.now my first nam only reflected on decreee also initial of my name which is last name was stricken off since it was mentioned while filling. Please suggest me what should I do. I am working women in india and soon thinking to move to USA if our visa process without any issue.