I understand your fear of anesthesia, however the risk to her life due to anesthesia is much much less than consequences of dental disease. The healthy thing to do for her is to get those teeth properly cleaned, and they will do x-rays to determine what is best for the 2 teeth you are questioning. Have pre-op blood work done to make sure there are no pre-existing conditions that would make her at risk for the procedure.
We all have a bit of anxiety putting our beloved pups under for procedures, as a matter of fact 2 of mine are having dentals this coming Thursday, and the other is having hers the following Thursday. I will be nervous too, but know that it is the best thing to ensure their healthy long lives.
This link is very informative about doggie dental care, and the portion about deep cleaning makes it clear how extensive it is, and also why it is rather expensive.
A Complete Dental Care Program for Your Dog