I did the exact thing too a few years ago. It somehow feels better to know you aren't the only one...

I still use water running slowly into the sink to rinse the blade. This is mostly due to a complete lack of counter space on which to perch a sponge or towel or similar. However, after having nicked an edge that first time, I now find myself being extremely (!) careful of the edge and have not come close since.

The good news is that it honed out beautifully and I was able to chalk up another wet shaving learning experience.