Don't you usually get rhinoplasty under general anesthesia?

This is my first time getting rhinoplasty, and when I was consulting with the director, I asked what would happen if I wake up from general anesthesia, and the director said that he would give me more general anesthesia and told me not to worry, but when I got on the operating table and asked the doctor again, he said that if I wake up from general anesthesia during the surgery, I would just receive it while awake;; General anesthesia is only needed when using local anesthesia, and it is not needed after local anesthesia. So I thought, "Oh no way I'm going to wake up during the surgery," but the moment they said they were going to start the surgery, I woke up from general anesthesia... I really felt the surgery from start to finish. It hurt so much in the middle that I told the doctor, "It hurts so much," but he said, "Just hold on for a little longer." Is this how all rhinoplasties are? When I read reviews, everyone says that when they wake up, the surgery is all over, but I'm the only one ㅜㅜㅜㅜ I think I'm going to get a real trauma.