LOL! I get it. I was the same way the first time I cracked an egg well past due date and it bled.
It still happens on occasion, but you just have to roll with it if you are going to help. I had 5 orp babies that I just hatched. I thought for sure 3 were dead. I opened all 3 and they all had live babies. I got a bit of blood but put them straight back.
2 hatched out on their own the third needed further assistance. I now have five fluffy beautiful babies.
But, it doesn't always go well. Once we start helping, it can go either way.
As for the paper towel, It's purpose is to keep moisture to the egg. So as long as it's around the egg and not smothering, it should be fine.