L.M.
This is a pretty standard procedure so all should go well. My nephews have had this done and all were fine. One of the three had a tougher time (but some of that was his mother over-reacting to EVERYTHING) but the others were fine. In fact, one was eating bacon and anything in site by the end of the week.
Just be warned that having the tonsils removed does not guarantee that she will not get strep. It does reduce the chances but the only thing it GUARANTEES is that she won't get tonsilitis (can still get pharangitis...same but when you don't have tonsils that is what they call it).