Hello and thanks for your question.
I think you always have other options, but unfortunately for you, they are not all palatable ones. Option one is to wait a while and see if the constant tearing reverts back to the slight tearing you had before the infection. Option two is to have an evaluation by an ophthalmologist to determine if there are other causes for your tearing (there can be many causes for tearing, not just an obstructed tear duct). Option three is trying an over-the-counter nasal spray such as Afrin (if okay with your doctor) to see if that helps any obstruction you may be having (sometimes the obstruction is in the nasal passageways and not necessarily in the upper tear duct).
But I do think it is always appropriate to get a second opinion. If you really want to get the best, XXXXX XXXXX second opinion for this tearing problem, I would see an orbital/oculoplastics specialist. This is an ophthalmologist (eye surgeon) who has sub-specialty training in doing exactly these kinds of surgeries and would be very facile in the workup, diagnosis and treatment of these disorders.
Does that help answer your question?
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My opinion is solely informative and does not constitute a formal medical opinion or recommendation. For a formal medical opinion and/or recommendation you must be examined by your doctor.