Hi there. I have a patch of skin near my nose that is really dehydrated/oily. It shows dehydration lines. What should I do?

Seborrheic dermatiti. Your condition sounds like seborrheic dermatitis, but without an exam I am only guessing. This sometimes responds to a moisturizer, but usually one needs something with an anti-inflammatory action or acne type med. I would suggest starting with clotrimazole cream twice daily for several weeks. Hydrocortisone cream 1% will work really well but temporary only. See MD for acne type Rx.