Honestly, I would start looking into ways of boosting her immune system. I wouldn't go straight to yanking OUT parts of her immune system (tonsils).
I always had swollen tonsils, and then in college had 'strep' 4 times in one year, and i'd had enough. Found some ancient ENT guy to take them out. Yay...except...now when I get sick, I get sick in my lungs. I tell you, I would take a horribly painful, can't swallow, want to scream while taking pills, throat ANY day over how scary some of my "colds" can get now. About a year after, I felt like such an idiot b/c I KNEW better, my ped had taught us better...the tonsils are a protective device for us.
So...vitamins, better diet, chiropractic, acupuncture...anything to boost the immune system, rather than taking out part of that system...
DS had strep last Fall. I had every last one of his symptoms, except for the swollen throat (mine hurt, though) (I did have swollen glands, so swollen I actually wouldn't have been surprised to find it was mumps in both of us, but there's no definitive test for THAT), and NO ONE wanted to test me for strep. No interest. Can't get it. Yeah, sure........ If they don't test you, of course you can't be diagnosed with it. If it happens again, I'm having them test me. I was just as sick as he was.
Of course, he saw an ND instead of an MD, so along with the antibiotics he took, we also ate tons of garlic, gargled with salt water, etc etc, all the natural ways of helping the body get rid of it. Took me longer to feel better, but finally I got rid of my illness too.