The problem you have is that you have been properly served in the state of TN. If you flee or try to flee the state with your child, then the law can stop you in TN or seek a warrant for your arrest and extradition from another state back to TN.
While the father does not yet have any legal rights of custody, the fact that the court has ordered that you are not to remove your child from the county is legal and if you try to do so you can be arrested and that could result in you losing custody of your child to the father until the court gets all these issues resolved---and it could harm your right to primary custody of your child.
You are going to have to keep your child in the county until there is a court hearing. There may be a tentative hearing for Wednesday and that the court clerk's office doesn't have it on calendar yet. Check again later today with the court. However, you may not leave the county with your child for any reason unless and until the judge retracts the restraining order---which probably won't be until after at least the first court hearing.
Just don't leave the county now because you could lose your child for quite a while if you do---and you could be jailed for contempt of court as well.
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