Yes, you have a right to object to the proposed supervisor. Come to court with several alternate names. There are also paid supervisors in the area who are well trained and neutral. Consider a supervising service if you cannot come to an agreement.
You have the right to object to his mother being the supervisor. Explain your reasons to the judge, and be ready to suggest some viable alternative supervisors. One possibility would be to call 411 for Family Solutions Inc. in the S.W. suburbs. It provides off-duty police officers to supervise for $75.00 per hour.
Yes, I do agree you have the right to oppose of any person that is allowed to supervise your child; however, you should be clear and concise when explain to the court your reasoning's. You may state your concerns, provide facts, if possible, and not hypotheticals. Of course, you want what is best for your daughter; however, you do not want to appear difficult or make false assumptions of what may or may not happen. Provide a list of alternative proposed supervisors for your daughter with some sort of verification they would be more qualified to care for her.