Another thing to mention is that our pediatrician mentioned she would be willing to prescribe antibiotics and some topicals before sending us to the dermatologist. That might be an avenue to try if it will take that long to see the dermatologist. (Our pediatrician left the practice late last year, and I decided to skip right to the dermatologist. We did not have to wait long for an appointment).
This was actually our route to the dermatologist as well. Family dr. prescribed retin-A and doxycycline first, and when that didn't work, we went to the dermatologist.