Finish the wood...leave the metal bright, if that's turns you on. But finish the wood. Good lord.
I left the barrel and lock of my Chambers Virginia 'amoury bright', and the barrel has acquired a nice grey patina. We don't have high humidity to deal with out her on the left coast, so rust is not an issue. Out here, a rusty gun is seriously neglected.
But the wood needs to be sealed , and finished.