If it isn't too windy, we always leave the awning out in the rain. Angle it to let the water run off -- check it though, sometimes you have to angle it more than you think or the water can still pool on top. Also choose which side to let the water run off, as it can be a lot of water and you don't want it all pooling in front of your door.
If you don't already have them, get a set of "de-flappers". Clamps with velcro that attach halfway along the side supports to help prevent the awning from flapping in wind.