Ok the hate of needles here just made me feel extremely tough. It's normal to get 2 teeth taken out when getting braces, to free up space in your mouth. Luckily I have an incredible pain threshold(went to a damn russian dentist, who didn't bother to fully numb my teeth). Its a normal process, don't be so scared of it. Just grab the arm-pieces of the chair, look straight up, and imagine your in your happy place just as a puma swings at your mouth with its claws. Believe it or not, its painless.
I recently had to get toe surgery, and I was awake during the whole thing. I had an ingrown nail and the doctor numbed my toe with about 14 needles, from whatever angles possible to numb the nerves.
Remember, needles aren't what cause pain, doctors are. Be afraid of doctors, not needles.
P.S. I'm a type 1 diabetic and have to normally shoot myself up 3-4 times a day with insulin. Luckily I got a pump.