Dry, itchy patches on my face, need second doctor opinion?

About a year ago I started getting dry, itchy patches on my face. Over the next few months I changed all the products I used to ensure it wasn’t a reaction to anything with no luck. I then went to the doctor who thought it might be rosacea so prescribed me a course of oxytetracycline, which unfortunately did not lessen the symptoms. It is very red and flaky, and is starting to spread to other parts of my face. Does anyone know what it could be and any ways to treat it?