They only cut that if there are problems with the baby coming out like if they turned the wrong way. Sometimes there might be tearing of the cooch but if you're lucky and got an epidural you won't feel it when they stitch you up- that much. Feels like a pin prick. The epidural works wonders btw...
Did it natural too, (or about as natural as you can get. What ever drug they gave me 'to take the edge off' didn't do shit), and the actual pushing wasn't bad, it was the contractions.
Just imagine taking a really big shit...
You really have nothing to fear.