I just got the other side of my nose peirced. Its sore, and it bled an awful lot. The left side hurt alot more, and the right bled insanely. It was going down my throat and out my mouth even. Eric was with me and it kind of disturbed him. Well, I leave you with a picture taken before my peircing was even done. My hair has been dyed brighter pink now too.
You did go to a competent piercer I hope. If it's still bleeding now I think you'd better get yourself checked out.
Look after yourself TT.