Oh ouch! Sorry you had to join the club!
I got my membership when I was about 8 and put a needle through my finger. I betcha I screeched a lot louder than you did! Oh the drama... LOL
It sure does make you cautious though! It's been 31 years since then and so far I haven't repeated that particular mistake. *knock on wood* I've skimmed a few layers of skin off with a rotary and caught a fingernail a time or two but so far nothing deep enough to bleed...that mistake is still waiting for me apparently!