If and when visitAtion is requested in court you can ask it be supervised. You could arrange for family supervision or at a center. If it occurs at a center you would have to bring the child. Good luck.
This answer is only for informational purposes and is not meant as legal advice.
There are two ways to do this: 1. voluntarily provide the child and coordinate a supervised setting, or 2. he'll get a family court order where you will lose the "voluntary" nature of the process and be subject to allegations of contempt and more lawyer fees.
While the father seems to accept supervised visitation you might try to work it out voluntarily. The supervisor can just be someone you both agree on, a family member or friend, who is not to biased toward either of you. If this doesn't work out then you can take it to court and have an officially supervised visit. When that time comes consult with an attorney.
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