Really doesn't look as bad as I thought. I wouldn't set a sandwich down but have seen a lot worse in the back of a crane. You can still read all your labeling!
Evaluate the air filter to make sure it can still breathe, squeeze out what you can and soak up the rest with paper towels if it is that bad. As long as air can get through it nothing will hurt if it has oil on it (many filters still use oil bath). I would fill it with oil and see if it cranks and, hopefully starts. Let it run a few minutes to verify all is ok and shut it down for cleaning. If you clean first you and have electrical problems you will not know if the water is causing trouble and then have to wait a day for it to dry out. More wait = more worry.