If it were me Flashy, I would not use any preparations at this stage ... just a warm/hottish water compress a few times a day. It should clear itself in a few days.
If it doesn't, may need some form of antibiotic .. just keep your eye on it (so to speak ..
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Better be safe too and throw out the eye make up you have been using over the last few days. Not necessarily this ... you will probably never know where it came from, after all, we used to get these when we were young children and didn't wear make-up then, however, infectious so probably passed on from our friends.