My mother has my daughter because they arrested her dad and i have a criminal background If they terminate my rights but not his will she go to him

Sorry but that is not enough information:  He was arrested but is he still in jail?  What were the charges against him?  How old is your daughter?  Do you visit your daughter at your mom's place?  What is your "criminal background"?  How are you today?  You would have to ask the social worker who placed your daughter with your mother.  I think your mother seems to be the fit person to have custody of your daughter, depending on daughter's age.