I would follow the "just don't worry about it advice."
But here is an idea some might think sounds crazy. Take a rag and rub some old engine oil on the surfaces. Now, I've had my cars oil sprayed for rust protection many of times. Sometimes a lot of over spray gets on the brakes. Its really no big deal. A couple firm stops and its wiped away without even being noticeable after. Just make sure you do it first chance you get and not when you're rushing up toward stopped traffic.
Despite what some belligerent rednecks have told me, oil is a rust inhibitor.