What Causes Runny Nose And Pink Eye In A Child?
Could be either allergies or mild conjunctivitis
Detailed Answer:
The most common cause of pink eye (conjunctivitis) infections are viral rather than bacterial and can resolve on their own without antibiotics. Usually there is some degree of pinkness though.
Seasonal allergies can cause eye discharge. Usually the eyes are itchy when seasonal allergies are the cause, and usually affect both eyes.
I would recommend, if she will allow this, to put a very warm wet wash cloth on her eye for a minute or two (as long as she will allow) a few times a day. The cloth should be not so hot that it has potential to burn the skin. After applying the wash cloth for heat purposes, make it soppy and wash away the discharge. You'll have to stand over the sink for all this. I have used the wet hot wash cloth treatment on early pinkeye with my own daughter when she was little and I can attest to it working.
The other possibility for the discharge in one eye without pinkness is a clogged tear duct. Usually there is a bit of puffiness around the eye when that happens, but not always. The treatment above can help with this too if the problem is mild.
If things get worse however, she should see a doctor for evaluation.
I hope this information helps. Please let me know if I can provide further information or clarification.