My cat shows no signs of redness nor infection, however she has sleep and tears, I think she had gotten something in her eye however I can not see anything, I think it's out but can I just use eyedrops to flush it out?? Instead of paying a 200 vet bill for something that can easily be taken care of myself..

You don't know if you can easily take care of this because you don't know what "this" is.

You cannot use "people" eyedrops. You can try a water flush - but I certainly wouldn't advise it.

I have no idea what "sleep and tears" means.

If she's uncomfortable in any way and you are a responsible pet owner you will take her to your Vet.