Hi! When you say the cough is snotty sounding, it makes me think there might be fluid in the lungs. A dry cough or a hack like a cat trying to cough up a hairball wouldn't worry me as much, although if it persisted a visit to the vet would be in order. But a wet or snotty sound worries me. I would suggest at the very least a call to your vet to get an opinion, but actually you probably just need to take her in. These young ones can go downhill really fast.
Please let us know what happens.
