Call your doctor and explain what is going on.

To manage red and flaky skin on your nose due to seborrheic dermatitis, try using a gentle, fragrance-free cleanser and apply a moisturizer to keep the skin hydrated. Over-the-counter anti-dandruff shampoos can also be applied to the affected area to help reduce flaking and redness.
Cleveland Clinic skincarephysicians.net
Understanding Seborrheic Dermatitis on the Nose
Seborrheic dermatitis is a common skin condition that often appears on oily areas of the face, including around the nose. It can cause redness, flaking, and irritation. This condition is not contagious and can be managed effectively.
Symptoms
Red, flaky patches around the nose
Oily skin with yellow or white scales
Itchiness or discomfort
Treatment Options
Over-the-Counter Remedies
Medicated Shampoos: Use anti-dandruff shampoos containing ingredients like zinc pyrithione or ketoconazole. Apply them to the affected area for a few minutes before rinsing.
Moisturizers: Use fragrance-free moisturizers to hydrate the skin and help restore the skin barrier.
Prescription Treatments
Topical Corticosteroids: These can reduce inflammation and redness. Consult a dermatologist for a prescription.
Topical Antifungals: If yeast overgrowth is suspected, antifungal creams may be recommended.
Lifestyle Tips
Gentle Cleansing: Use mild, non-irritating cleansers to avoid further irritation.
Avoid Irritants: Steer clear of harsh soaps, alcohol-based products, and heavy makeup that can exacerbate the condition.
Manage Stress: Stress can trigger flare-ups, so consider relaxation techniques like meditation or yoga.
If symptoms persist or worsen, consult a dermatologist for a tailored treatment plan.