Can anyone help me find out what's wrong with my Cat?

I’m taking her to the Vet as soon as they are open, which I think is the 3rd.
For the past 3 days she’s been sneezing and sneezing a lot.
she doesn’t have a runny nose, or teary eyes and she’s eating and drinking fine, however tonight I’ve noticed the white film that cats have are sitting over both eyes, she looks terrible. She’s been really quiet and really clingy.
Anyone have any ideas?
she’s an indoor cat, so not in touch with other cats at all, I’m sick as well I have a cold, but I know that you can’t pass it on to your cats. I’m really worried about her – any thoughts?