They should be fine, but you need to inform the photo lab what happened.
Ideally, if the camera gets wet and you are sure the film inside has gotten wet, you should transfer it to a container of clean tap water and take it to the photo lab like that. It would have to be a real photo lab where people still handle film in the dark, though, not one of those walmart minilabs where they wouldn't know what to do with it.
The concern is that if the emulsion of the film got wet and then was dried, the roll of film will stick to itself and be ruined as soon as the gomer at the minilab tries to unspool it.
Basically at this point, you've already set your course, so you'll have to follow it and let us know the results. Out of curiosity though, why would you not immediately take the camera to a processor if the contents were so important?