1) there will always be people who judge other people by labels and status. It doesn't matter if you're in medicine, athletics, or appliance sales. Someone will always make a big deal over whether you went to Humble State U vs. The College of Prestigious Snobbery. Someone will always care that they paid $50K for German engineering while you're inexplicably satisfied driving a reliable $20K vehicle. Maybe the nurse was just testing you to find out if you were the kind of person who would like hanging around the base of the totem pole with the rest of us.
2) What is a "real doctor"?
Is it cutting people open? Then there are a LOT of non-psychiatric MDs who don't qualify as "real" doctors?
Is it using a lab test or image instead of a clinical presentation to diagnose? I guess neurologists don't "really" diagnose migraines then, and rheumatologists have no context for their fancy ANAs and FANAs.
Is it about curing disease and saving lives? Then say goodbye to the geriatricians, pathologists, and radiation oncologists--because they're sure as heck not doing much "real doctoring".
Meanwhile, I know more neuroanatomy than most orthopods, and more pharmacology than most internists--but I don't think they're not "real" doctors. Every branch of medicine looks weird and crazy to the folks in some other branch--the surgeons mock the internists for their cerebral attention to detail, the internists are baffled by the orthopods' disregard for lab values, everybody wonders what those radiologists are doing in the dark, and we're sure the pathologists are looking at everyone as a source of tissue specimens. Get over it. We need each other.
I'm tempted to quote a bit of the New Testament here--the Apostle Paul wasn't writing to doctors in the letter to the Corinthians, but there might be a drop of wisdom from him for us. Maybe this is relevant:
" 14Now the body is not made up of one part but of many. 15If the foot should say, "Because I am not a hand, I do not belong to the body," it would not for that reason cease to be part of the body. 16And if the ear should say, "Because I am not an eye, I do not belong to the body," it would not for that reason cease to be part of the body. 17If the whole body were an eye, where would the sense of hearing be? If the whole body were an ear, where would the sense of smell be? 18But in fact God has arranged the parts in the body, every one of them, just as he wanted them to be. 19If they were all one part, where would the body be? 20As it is, there are many parts, but one body. 21The eye cannot say to the hand, "I don't need you!" And the head cannot say to the feet, "I don't need you!" 22On the contrary, those parts of the body that seem to be weaker are indispensable, 23and the parts that we think are less honorable we treat with special honor. And the parts that are unpresentable are treated with special modesty, 24while our presentable parts need no special treatment. But God has combined the members of the body and has given greater honor to the parts that lacked it, 25so that there should be no division in the body, but that its parts should have equal concern for each other. 26If one part suffers, every part suffers with it; if one part is honored, every part rejoices with it." (First Corinthians, Chapter 12).
As they say in AA, "Take what you can use and leave the rest".