What is the sore nose

The term "sore nose" is not a commonly used English phrase that I am familiar with. If you are referring to a common symptom of an issue like a runny nose, or an upset nose that might result in itchiness, soreness, or redness, then this may be caused by various reasons, such as allergy, a cold, a nose injury, or dryness of the nasal membrane. If you can provide more context or a more detailed description of the symptom, I can better assist you with an accurate answer.