Yup - sounds exactly like what happened to me, except mine was passenger side. It's not too fun when you find you main power cable soaking in 3" of water!!!
You should also get a shopvac or something and try and suck up the water out of the carpet. It's amazing how much that thing can hold!
1992 BMW 325i (CHUMPCAR #296 - build in progress)
1992 3.0L M52 325i (ex-daily driver - track car only)
2002 330Ci (ex-daily driver - sold!)
Check out my e36 track car build