
I've actually had one with tonsilitis resulting in having to have them removed. Could be similar, but rather than guessing, you'd be best to wait for the vet to examine her, and advise. If you don't get a diagnosis, or trust your vet, you are entitled to go for a second opinion, or switch vets.
Coughing can be caused by a number of problems from a heart condition, to lung worm, or heartworm and yes, KC or tonsilitis. Guesses!!