I got baby shit on my eyelid

I don't know how in the hell. 
I just don't. 
I was changing a poopy diaper and all the sudden a tiny part hit me on the eyelid. I washed it off, took a shower and put hand sanitizer on my eyelid. 
Germaphobe here. I know that's probably not the greatest thing to do, but I couldn't help myself. 
Am I like GOING to get pink eye???