This is a tough situation. My Wick gets dental maintenance once a month. As mentioned by BH, rabbit savvy vets do a good job with anesthesia and making sure everything is ok prior, during, and after the procedure.
Considering her past diet, I’d guess that not only are her incisors overgrown, but she probably has molar spurs. I can’t imagine any vet who would attempt molar spur maintenance without anesthesia, so I think eventually, she need to go under to have everything checked.
I mention the spurs because it could be the case that her incisors may not be the real issue, it’s actually spurs. In which case the earlier appt may not do much. How long are the incisors exactly? Did the vet have a sense of urgency and recommend going else where for an earlier appt?
Also, unsure how many practitioners do it, but clipping incisors is not much of a practice now because there’s a good chance the tooth can splinter, exposing it to bacteria and a later tooth infection. I would call to see if they file or clip incisors and spurs. Filing with a dremmel (I believe it’s called) is generally less risky, according to my research and Wick’s vet. There’s more precision.
Rabbit teeth are constantly growing, so waiting could be painful for her, as well as damage gums, teeth, or cheeks, depending on the layout.
Again, tough situation. I’d say speak wit the man vet to get their opinion, and get some more info from the non-anesthesia vet.
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.