I have white spots in my throat,it's a little sore,but no fever and it's not strep but my nose is very runny and i'm sneezing.should i see a doctor?

Worse: if your throat becomes more sore or if you get a fever or the spots become more prominent then see your healthcare provider

Yes: There are rapid strep tests that can be done in the office to make sure you do not have strep throat. It may not be strep throat but a culture of the throat would tell one way or the other.

Your symptoms: at the present time suggest viral upper respiratory tract infection. You probably will be able to handle it with the otc medications doing symptomatic treatment including salt water gargle. But if situation changes such as developing fever, severe sore throat then see your doctor you need rapid strep throat test , throat culture and antibiotic.