A corneal abrasion or scratch from a cat's claw is what I would call risky. Cat's have numerous bacteria in their claws and puts you at a high risk for infection. The cornea might or might not be able to heal on it's own.
Things to look for for are excessive redness, tearing, blurred vision, double vision, discharge from the eye, inability to hold the eye open, and sensitivity to light.
You only have one set of eyes, and I would highly recommend you see your Dr about this. I can understand the cost involved, so I will give you a website that you can put in your zip code and the website will pull up a list of low cost or free medical providers in your immediate area. I think the website ask for your address and some other info, but all you have to enter is your zip.
In the meantime, you can keep your eye flushed out and moist with normal saline, but that is about all you can do at home.
Hope you can visit one of the clinics you find and get your eye cleared up.
Hope this helps!
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