If I have a radiofrequency coagulation will my face droop, in addition to being numb?

Facial droop. It all depends on what level and where on the nerve branch they are doing the radio frequency? It is common in about 10% of the cases to have delayed numbness and drooping. Talk to your md first to weigh the pros and cons of the procedure.
It might. Ablating the facial nerve carries with it the risk of facial nerve paralysis.