Poor kid. My daughter had tubes put in her ears last summer, when she was about 18 months. They did not take her adenoids out so I can't compare with that, but she did great with the surgery. She was playing in the room the whole time while waiting for the initial knock-out drug to work, and when she woke up she started playing with the nurse right away. By the next day she was almost entirely back to normal. She's only had one ear infection since then and it cleared up immediately with antibiotic ear drops. Before that, ear infections would require multiple antibiotics before finding one that worked and she would be sick for a long time. Even when she didn't have an active infection, her ears still had a lot of fluid in them and it probably caused some of the speech delay she had.
I hope your daughter does as well as mine! I'm a bit sensitive to anesthesia too, but my daughter seemed just fine.