So sorry to hear it!

I had a D&C as well, but then I'd been under a couple different times so I wasn't nervous about that. Don't worry, you will be just fine, in my experience they have an anesthesiologist in the room the whole time and his job is just to monitor you and how much anesthesia you're getting to make sure your vitals are just right. So you have someone watching you the whole time while the rest of the team works on you.
I hope you can heal quickly and that you feel like you can post here anytime you want to. We're here for you and we have shared similar experiences so we can relate. You're not alone!