Interesting, all sorts of things can happen, huh?.... Sometimes my sheep get poked in the eye by grass or hay and I'll use the eye ointment, terramycin, from the drug store, to help relieve irritation. I also had a bad hatch, once, the chicks eye was bleeding, or something right near the eye (I think the broody pecked at her), and I put some on there with my finger tip. It healed up, but I think her vision was impaired - later, as an adult, she seemed not to be able to see me walk up on that side and it would startle her.
For loosening up the stuff on its backside, if water doesn't penetrate good enough, you can also use olive/vegetable oil or a dab of mayo to make it let go.... when we were kids, I'd go to sleep with gum in my mouth and wake up with it in my long hair! LOL... Mom would always rub mayo on it and it would come out....