Generally when your throat only hurts on one side it is not likely strep and as you will remember, it hurts all over with swollen "glands" or lymph nodes in the neck, headache, fever, etc.
As long as you have no fever and it goes away in a few more days then you don't need to see your doctor. Strep is less likely in adults of your (and my) age but can still occur but you would be much sicker I think so just wait it out a bit longer.
Is gargling with salt water still the best treatment?
Is gargling still the best treatment?