How wet? Can you actually see a big fat drop dropping off her nose or is it just slightly damp when she snuffles you? If it's just a little damp, then this is normal.
If her nose is actually running, you would want to watch out for discolouration. It should be clear and colourless; if it starts to turn yellowish or slight greenish, or thick and milky in consistency, you will want to take her to the vet.
But, just a nice, clear damp nose is nothing to be worried about.
