John Smith is the Doctors cover name. His real name is The Doctor, he chose it. If you were writing him a letter, I would say Dear Doctor.
Ask either one of them for a scan - which you should have in either case.
stopthatcoffin
"La doctoresse" or even "docteur" is fine. Some actresses these days call themselves actors, so French "doctoresses" would call themselves "docteurs".
They will either recommend you to an OB/GYN or if they will take a urine analysis and do blood work to make sure you are healthy.