Hi. I'm online and happy to answer your question today.
It sounds like you might have a mild chemical conjunctivitis. As long as your eye feels fine (no foreign body sensation, pain, burning etc) and you vision seems normal I do not think you have to see an ophthalmologist at this time.
I suggest you use some artificial tears 4 to 6x/day (there are many brand names) to soothe your eye. The redness should slowly improve but may take a week or so to completely resolve.
If you start to get a discharge from your eye, if it should start to hurt or if your vision should be affected then you should be examined by an ophthalmologist right away.
Does this make sense to you?
By the way.....you the the correct thing by flushing your eye with large amounts of water right away :o)
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