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Hi there - I'm Dr. Sara. I'm a licensed vet who works exclusively with dogs and cats. Congratulations on your new kitten :)
A common cause of sneezing and watery eyes in little kitties is a viral infection. The most common virus that we see in cats that causes those symptoms is the feline herpes virus. There are others, but herpes is quite common and usually our scapegoat when we are discussing a watery sneeze and watery eyes. As long as the discharge from eyes and nose is clear and watery, it's likely viral. If you're seeing green or yellow boogers, her appetite is poor or she seems unwell, then she should be seen by the vet as she may have developed a secondary infection that would require antibiotics. This is also quite common.
Some nursing care you can do at home - you can humidify her environment and use plain saline nose drops placed into her nostril if she is quite "snotty" and congested. One easy way to humidify with a kitty is to run a very hot shower, close the bathroom door and let the room get steamy. This can definitely help loosen up congestion.
L-lysine is a common nutritional supplement that you can buy over the counter or at your vet that has some activity against the herpesvirus. It's easy to give and low to no side effect, so it's always something I recommend for kitties with the sniffles. It can stall the replication of the feline herpes virus and shorten the duration of symptoms. Lysine can be found in many formulations from hard or sort treats to liquids, powders, and gels. Here is an example of a product I see at PetSmart: http://www.petsmart.com/cat/vitamins-supplements/gnc-pets-l-lysine-soft-cat-chews-zid36-12350/cat-36-catid-200049
Please let me know if I can answer any other questions for you!
Fantastic! I'm glad to hear it :) Are there any other questions I can help you with?
Hope she's feeling better fast!