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No, wisdom tooth extraction would NOT cause any eye infection.
Do you have any eye symptoms now?
red, watery eyes now
and they are itchy now and again
In that case it could be likely to be due to allergic conjunctivitis. This condition is characterised by redness/itching/ropy thread like stringy discharge.
Treatment for mild cases is anti-allergy eye drops such as over the counter Alaway/Zaditor eye drops, 1 drop twice a day for 2 weeks. If symptoms persist beyond 2weeks after treatment then it is better to get the eyes examined by an ophthalmologist for start of Olopatadine eye drops(Pataday), 1 drop twice a day for 2-3 weeks.
Please feel free to ask follow up questions if any.
Thank you and best wishes. It was a pleasure to have answered this question. A positive rating is what I aim for and we can continue to interact till you get a satisfactory response.A positive feedback and /or bonus are most welcome and appreciated. Views expressed are for information purpose only and cannot substitute a visit to an ophthalmologist