I'm not allergic to anything or get allergies normally, but i started getting burning and red skin on the outer corners of my eyes. what could it be?

Allergy or infection: Patients with severe allergies get inflammation on the eyelids and around the eyes and at the corners of the mouth. This is a skin inflammation called atopic dermatitis. Try an allergy pill like loratidine and a mositerizer like cetaphil or lubriderm (unscented). If it does not go away or gets worse (more red or weepy) go to your doctor.