Good thing she is on an antibiotic if she has a sinus infection. I hope she gets over it soon. Have you rinsed her eye with a saline rinse for eyes? Recipes on line. That may help to get the infection gone.
What is in the eye cream? is it Terramycin? the pain killer may be making her want to sleep. Can you post a picture of her? Do you know how she injured her eye? My Muscovy duck was attacked and lost vision in one of her eyes, took her a little time to get use to seeing out of one eye but she...