I had this light come on on Christmas eve... I thought as it's the diagnostics / pollution light, probably something to do with my new Piper turbo back exhaust...
The likelihood is when you went thru the puddle you got some water on the lambda probe(s) and its knacked it.
My light came on when the water temp sender failed, but you'd still need to get it on Vag com to clear the fault code/s
I never went thru a puddle, I was sitting in traffic, not even raining out
Neil.