If what she is carrying is normally available only by prescription, then she should probably have a script written and get a properly labeled dose for the trip. There are two, and only two choices here, they will let her fly with it or they will take it away because it doesn't meet their requirements. If she needs it with her, then she should make sure there won't be any problems.

Clinic employee or not, it's illegal in some states to have prescription medecine dispensed without a prescription, it's not really something you want the TSA messing around with.