My head is spinning from reading EU healthcare posts today. I thought it was better over there. It takes a really long time to get an appointment here in NYC too, and I have private insurance. You literally just call random doctors all day until one can take you!
I'm glad it's not a longer wait as expected, though! Could the ER give you a prescription that would last the 5 weeks until your appointment, now that you can prove you have an appointment set?