Tasha ~
As often is the case, I agree with
Jan's comments on this issue. A 3-year-old child cannot understand surgery, much less, AN surgery and shouldn't be burdened with many details. You are that child's whole world and the best thing you can do is, as Jan mentioned, keep his or her life as normal as possible during this time.
My son was an adult at the time of my AN surgery but years earlier, when he was only 7 years old, I had a serious fall (on ice) and had to have micro-surgery to repair some broken cheekbones. I looked horrible and he was visibly upset by that. I downplayed the whole incident, made silly jokes about being 'beat up' and got him to laugh about it with me. It worked - and he soon lost his anxiety over the situation - and my unnatural appearance. Fortunately, the surgery went perfectly, I healed quickly and a month later we were on a (
pre-planned) family vacation to Disney World in Florida. 25 years later, my son only vaguely recalls the incident. I can assure you that he was in no way traumatized by it, due, I believe, by the way I approached it with him.
With a 3-year-old, I believe that minimizing the operation (and your absence) is the best approach. Of course, these are only opinions. As a parent, you should do what
you believe is best for your child, as I'm sure you will.
Jim