I've been working on cars 30+ years - mostly wore my safety stuff and didn't have any problems.
Twice within a 3 month period last year and wearing a full face shield I managed to get junkin my eye for the first time that required visits to the eye doctor.
I waited only 2 days the first one and after the tonque lashing I got from my eye doctor got the second one done immediately. My doctor said the sooner you get it out the better even if I have to call him in for an emergency visit - he said he'd do it. That should tell you how important it is to not wait!