If the mother violates a supervised only parenting time order, your remedy is to file a motion for an order to show cause her for violation of the order as well as to suspend all parenting time or move supervision to a professional venue to ensure compliance in the future.
This comment is designed for general information only, and should not be construed to be formal legal advice nor the formation of a lawyer/client relationship.
Where was the supervised visitation to take place? Was it only your daughter's grandmother that was to supervise the visitation? You should bring this matter before the court to advise of the violation, which the court will not look favorably upon. With the matter before the court, the judge could change the supervised visitation to a setting, and with a person, you request. See an experienced family law attorney to make sure the matter is properly presented to the court.
Neil M. Colman
Mr. Colman is licensed to practice law in Michigan. The response herein is not legal advice and does not create an attorney/client relationship. The response is in the form of legal education and is intended to provide general information about the matter within the question. Oftentimes the question does not include significant and important facts and timelines that, if known, could significantly change the reply and make it unsuitable. Mr. Colman strongly advises the questioner to confer with an attorney in your state in order to ensure proper advice is received.