Hi
I've had epidurals due to other surgeries including a hysterectomy. Most anesthesiologist will put the epidural in your spine while you are awake, some do this when you are put under, mine were done when I was awake they said they do it this way so they know they are putting it in the correct location, you should be put under general anesthesia also during your surgery. I would prefer to be knocked out during this operation, I've never heard of them doing a hysterectomy while you were awake.
Did the doctor tell you it was one or the other?
I'm sorry to hear you have to have the surgery.
Best of luck with your operation.