Most likely its just a cold or allergy. If you have some benadryl capsules open it up and pour it on some bologna or its food and have it eat it. It wont hurt it just make sure it keeps plenty of water.
Sounds like a cold.... Keep an eye on her an if your worried....vet!!!
My cat's nose does the same thing when she wants affection from me. She's never been sick and as far as I know for her it is normal. Similar to how a dog will get slubbery when they are petted. I suggest you Natural home remedies through this you get more results about herbal remedies .