Eeek I hate anyone going near my eyes, a needle in it sounds horrendous. I ended up with a deep cut in my eye a couple of years ago the hospital used a swab of something to peel away the skin. the pain for 2 days was unreal I don't think I managed any sleep in that time.
I would say always wear safety specs when working under a car, but in my case I had been, I took them of to get a better look when a chunk of rust hit me in the eye...... doh!