Dry it out, light sand, and put a coat of paint
There shouldn't be any wood exposed anywhere on a boat
that's capable of wicking moisture like that. I've got teak
decks, holly sole, wooden cabin top, wooden spar, and a wooden boom. Fresh water
should never saturate any wood.
or finish that stuff somehow. If you paint it, get ready to have it gassing for a couple days as the paint solvents evaporate.