My son experienced night terrors, too, and I also posted here and got a ton of responses. So know that it is very, very common!
No reason to rush her to the doctor. While NTs are scary, there isn't anything your MD can do for you, except bill you for the office call. ;-)
When she wakes up screaming, flip on the lights and put a cold washcloth on her face, or step outside with her if need be. She has to wake-up in order for the NT to stop. She may have her eyes open and be looking at you, but she's NOT really awake, and the NTs will continue. The first time you get her to "snap out of it" you will realize it right away. The one thing that worked for my son was a cold washcloth on the face and hands.
To prevent night terrors, have some continual white noise in her room. This will prevent her from going into the deep sleep where NTs occur, but she will still get a good night's sleep. I just run a fan in my son's room (opposite from him and facing the wall), but others use white noise machines and or a continual-play CD. Since using a fan for white noise, if my memory serves me right, my son has not had any NTs, and he had been having them almost nightly.
To help with the teething pain, try Hyland's Teething Tablets BEFORE bedtime. They are available at Walgreens, Whole Foods, and co-ops. They help with the pain but also contain some calming herbs which help with rest. Good luck!