Your stressing to much, but normal when you have never done this with your child. My 12 month old had his removed last week. This was the 12th time he was under anesthesia. He has red lined it three different times from Morphine overdose and this last time because he hurt so bad he didn't want to breath.
He has min. of one more surgery to go, but still two Dr. that he has yet to see that may result in more.
My advise someone who is new to all of this is 1)Explain everything. I do this even with my little guy. 2) She can not be around other people for a min. of 7 days, so you will need her to stay home for at least that long and take it one day at a time from there. 3) She will only be able to take Tylenol so have plenty of it around (we ran out a few days after wards). 4)Nothing hot for a week, Cold will make her feel better, it's like putting an ice pack on the sore spots.
As for anesthesia, they usually use a mask to put the child out and then...after you leave put in an IV and what ever else to make them comfortable.
We stayed over night, someone should call you a day ahead of the surgery to explain everything to you, if you want to talk to someone more specific you can ask that nurse about it. But for us we met with the anesthesia guy right before surgery, at Primary's they have a little black line that parents don't cross, so our little guy went right to the guy, as he came and while he talked to us, he concentrated on making our baby smile, and he was more apt to go to him later. Note, that our little guy doesn't have problems with anesthesia, he has problems with pain meds after wards. He also had three surgeons working on three different things, so he was a lot more sore and a lot more going on. But we did this so we wouldn't have three different surgeries. And the pain med's for the one would cover the other.
I hope in amongst all this you get something to help you. I have been the rounds with hospitals and the nurses know me by name now and am considered an honorary nurse by most of them. I am not afraid to get my hands dirty and they all know that if something is going to be done to my little guy, I'm involved to make sure I like what is being done and how it is being done.
My little guy had major sleep apnea and was on oxygen at nights for it. We are 8 days from surgery and he is doing great, he still has oxygen every once in a while (we have a monitor to tell us how he is doing), but most nights he doesn't dip enough for me to turn on the machine.
But we were told to give everything 2 weeks for healing. And though he is happy, he is not quite there yet. So I would say the two weeks is right.
Good luck with everything. Email me if you need more information. I have more experience than I would ever desire, but would do it all again for my beautiful baby boy!