Bad side effects from getting antibiotic ointment in the eye?

I have a stye on my lower lash line that's been there for months, it won't go away. I've done hot compresses, stopped using eyeliner, it won't go away. I recently started picking at it because every day it gets a hard dark spot on it, almost like a blackhead. I pick it off and have been applying A&D Ointment (triple antibiotic ointment) on it with a q-tip so I don't get it in my eye. But it's literally right on the lash line so no matter how hard I try, ointment gets on my eye. I wipe it off, but the tube says to not get it in the eyes. It doesn't burn or anything. But today I keep feeling like I have something on my eye, like you know how you get clear stuff on your eye sometimes? Like.. "eye boogers" lol? It *feels* like something is there, like it feels more moist than usual, but nothing is on my eye. Idk if that has anything to do with the ointment, but it made me wonder. It won't make me go blind getting a tiny bit on my eye every day will it? I always wipe it off immediately. I just wanna make sure it won't ruin my eyesight or anything.

By the way, I started using the ointment because a friend recommended this antibiotic ointment just for styes, but I'm unemployed and have no cash and no way to get money, so buying it is not an option. I looked the stuff up & it's pretty much just bacitracin/triple antibiotic ointment. It's all I have that's close enough to get rid of this thing, so I've been using it and it's making it go away.