I did nearly the same thing a few months ago. I managed to stop short of cutting it off (just a little piece of skin holding it on). Trip to the ER as well, they couldn't get it to stop bleeding either so put a turnicate on it to work on it. They ended up gluing it. I didn't know glue was so expensive! That little trip cost $812.00! Healed well, but still feels a little funny. I'm more careful now!