Oh boy, do I know just how you feel! In my case it was a hematologist - who still managed to make me feel bad and stressed and quite indignant even AFTER having seen a rheumy, being dx'd w/ UCTD and treated with Plaquenil, and being sent to him by my pcp to rule out a specific and genetic blood disorder my mother has and I am beginning to display symptoms of. This doctor told me I knew too much (because I am a former medical transcriptionist) and therefore was imagining my symptoms and should see a psychiatrist so he could Rx the proper med. Oh and I should take Xanax ALL the time! How exactly do you "imagine" to have polycythemia?
I guess it's like anything else - sometimes you get an experienced plumber/lawyer/waitress/whatever and all goes well, and sometimes you get the rookie dufus who doesn't nothing but ruin your day or muck up your life/house/meal/whatever. I think you got a dufus. Like Lynwood said - anything is possible, but I think you need and deserve a second opinion. And I hope you have an appt with a rheumy. Take pictures of your rashes. I'm assuming the steroid x 2 wks helped calm things down before this last appt.?
Hang in there. Some people shoudn't be doctors.
You know your body better than anyone else. If you think something is wrong, chances are it is wrong. Go with your gut instinct. My mother died from MCTD (complications). She was told for years that it was "in her head" by several different military doctors. As a result, her diagnosis was delayed unnecessarily, and she didn't receive early, aggressive treatment for her AI issues. I recommend that you seek another opinion. Especially, since this guy didn't even offer to run additional tests or anything. Sounds like a real winner to me.