1. Since you husband was so far reclusive as far discharging his duty towards the child is concerned, you can very refuse to allow the child to meet him.
2.If he wishes though he can file a sit for custody.
3. However cosndiering the conduct of him for the alst so many yours both towards to you and the child you can rest assured about the fate of his case.
4. The court may though pass an order of visitation of the child . However if she refuses to meet him then you can get that order of visitation nullified very easily.