I have nasal watering on the right side since yesterday, along with sneezing and a right-sided headache after exposure to cold, dry air.
Right-sided nasal watering, sneezing, and headache after exposure to cold, dry air are often due to nasal allergy or sinus irritation. Try avoiding cold air, keep yourself warm, and use steam inhalation for relief. If symptoms persist or the headache worsens, consult a doctor for proper evaluation.