Well if her eyes are sticky as well then she is suffering more from an infection rather then an allergy and i think gentamycin should be working with it. How many times do you put the eye drops into her eyes, sometimes the kids can't retain the drops in their eyes because of the irritation and thus the effect isn't seen, you can also look for the gentamycin eye ointment, and put them in her eye before she goes to sleep so in this way it would have more time to effect...
Besides this you can also do some of the following :
Make her wear sunglasses when she goes out in the sun so that it doesn't hurt her eyes.
wash her eyes thoroughly with cold water 4-5 times a day.
Keep her towels and clothes separately
Don't let her rub them.
Try these maneouvers for 2-3 more days and then take her back to the eye specilaist if the symptoms do not improve.
Don't get worried as the eye infections usually take a longer time to go away as compared to the allergies.
Best of luck and take care
Do feel free to talk to me for any further querries.