Your private doctor does not work down here in the ED. He is probably not going to see you here. He didn't call to "reserve" you a bed. Your doctor can't call here and "order" someone to see you right away.
Also, all the specialists in the world don't work here either. Blowing off your dermatologist appointment to come here and get your weird rash checked out because you "just want to get to the bottom of this" was probably not a great idea, since we're just going to send you to the dermatologist anyway.