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Rinsing it out was the correct thing to do. It is possible that she has some chemical conjunctivitis from the rinse aid. For this I suggest using natural tears as often as needed for comfort along with some bland ointment (lacrilube is a good brand name; any of them will do) at bedtime. I do not believe, based on what you have said, that she has caused significant damage to her eye although it is possible that she got a corneal abrasion from the rinse aid and the flushing. For this continue the drops and ointment along with cool compresses
She should be back to normal in 24 hours or so. If not, or should the pain get worse, her vision get worse or have any discharge from the eye she should be examined by an ophthalmologist.
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