It's very hard to tell from this picture if you have rosacea or not. I see some redness and that can be treated with laser treatments (pulsed dye, KTP) or IPL; but you should first see a dermatologist who specilizes in laser treatments. I wish you the best of luck, Dr. Emer.
Because of chronic use of topical corticosteroids your skin have develop an addiction to it and upon withdrawal developed Rosacea because you were prone to develop it anyway. You need to visit a Dermatologist since you need prescription strength topical medication and might oral antibiotics as well..