A divorce court order of protection can be entered against the father, but you fail to specify what crime he is committing that would serve as a basis for the OP. Is he committing disorderly conduct, menacing or stalking? He's badmouthing you to the mother and child but OP's are not entered for bad judgment, at least not yet. Hence I believe you cannot get one.
Have you brought this up with your attorney? if not then do so now. You can also bring an action in family court against her father and seek an order of protection for you and your daughter (it is irrelevant that she was adopted). Further keep a log of all things that have happened and write down any new ones that do, there may be a criminal act involved such as Aggravated Harassment. Good luck.
The advice I have given does not bind the parties in any manner and is merely given as a courtesy.
An order of protection will only be granted if a family offense was committed. It does not seem that the court would grant one under the facts that you describe, such as "rotten thinking." You should speak with and retain an attorney in your area for additional information.