I totally understand why you're scared, I felt the exact same way when I went to get mine out a couple years ago. I was afraid I would wake up right in the middle of the surgery and be paralyzed in my own body. Do you only have just one? Or are you still developing three more? I only developed two, both on the bottom. I never got my top ones and never will. *phew*
My bottom two wisdom teeth were wedged underneath my molars and were turned sideways!
Because of that, they had to cut them out rather than pull and since my jaw is so small, they had to file away my right side just to get to the one. I got a couple stitches on each side and had to take pain meds for 2 weeks before it was tolerable to bear. Even then it took me 6 months for the swelling to go down, making me look like a bit of a chipmunk during that time -- and that was partially my fault since I couldn't stop chewing gum and let my jaw rest.
When I was given the anesthesia before surgery, it did scare me. I actually did have a panic attack before I was knocked out, and I just want to let you know it's completely understandable. I had two aids in there besides the oral surgeon, and they held my hand and comforted me to calm me down. They were incredibly nice and that's what they're there for -- to help. Once I was knocked out, it only seemed like 5 mins. passed and I woke back up again. You might be placed in another room to rest, and you'll feel groggy, but you'll be okay. I remember when I woke up in a different room, it was a dark, square room and the door was cracked and I was laying on this single cot. My mind instantly went into panic survival mode. I wanted to just get up and run out of that place, like I was being hunted or something. Lol, I think it's funny now how I felt, but during then it was still kind of scary for me because I wasn't expecting any of those reactions or experiences at all. Please don't be scared though. What I went through was pretty specific and I highly doubt you'll have to go through as much as I went through. So again, you'll be safe, you'll be fine, and there is no need to panic.