ex parte divorce

You are acccusing her of adultry but u need to prove that . However exparte means that you file for divorce and  she choose not to contest the case and does appears in the case despite being served properly. 

It is better to negotiate with her and get a mutaul divorce.

If you can prove that your daughter has better life with you instaed of her mother then you may get the guardainship but tha is more tough...you can get visitatiosn .

Members can not decide and judge as many things are to be considered on hearing facts from both sides.  Your advocate can guide you better.

Collect relevant records/evidence(s) to justify allegation(s) and move to the court of jurisdiction through a local prudent lawyer without expecting miracle from obligation of experts on this platform. 

Adultery, if proved, is a ground for getting a decree of divorce. In such an eventualit y,  you have a fair chance in egetting custdy of the child; so also,you would be absolved of payment maintainance/alimony.