Why does the cold air or fan make me cough? help is it allergies?

I’ve always had allergies but minor things like terrible runny nose each morning but since 3 days if I turn on the fan it gives me itchy throat and cough. So I have to turn it off and hide stay warm in blankets. Is it dust? Am I allergic to the air or what lol. my sfudio is small with no windows.
Why does the cold air or fan make me cough? help is it allergies?
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