how to cure pain around my tear duct?

My left eye around my tear duct is sightly swollen and red and very sore

It may be due to stye, eye infection or something else. Consult ophthalmologist for diagnosis.
Meanwhile, you can try Warm compress: Lightly press a warm washcloth against your eyelid for 10 minutes. Try this up to 4 times a day.
Also, gently massage the affected area.