Is this water damage?!

possibly due to water seeping through the keyboard?

 

Put it in a bag of rice for as long as you are willing to, I think at least several day, but the longer the better.

 

Yes there is, people have done the rice thing before with good result.
I think the other poster was most likely wrong, a wetted cloth should not be a problem, but you closed the lid and shouldn't have done this right away, especially not if it was still warm/hot.

But, if I have water damage I immediately open the device and clean everything with isotropy alcohol.

Just a couple of weeks ago we had a leak in our house right above the Tv, stopped working, opened it and cleaned the Logic board, worked again.
But, I soon found out the water also got into the display, now opened that one as well, still not perfect, the diffusers/polarising filters are extremely hard to clean.

 

Sounds like some of that dishwashing fluid didn't get dried out before you closed the lid.

The only way to know if it's fine is going to be patience. Let it dry out and hope for the best.

As for cleaning, I usually use rubbing alcohol. Disinfects and it dried out in seconds.

 

I did the same thing with my wireless keyboard for my iMac. After two days I took it to the Apple Store and said it wasn't working. They gave me a brand new one no questions asked. That may work for a $60 keyboard, but I'm not so sure they'll be so quick to replace a $2000 laptop. Next time try to only wet part of the cloth. From now on, I only use water on all of my electronics--no soap or detergents, or cleaners.

 

If only water penetrated through the keyboard, putting it in rice for a few days to a week might dry it out and make it work again, but, if there was dish washing liquid that got in there, it won't dry out and will continue to cause additional problems. Your best bet is to have the logic board removed and cleaned and dried ASAP. If that doesn't work, you've got to look at logic board replacement or reflowing the board or component level repair and possibly a new top case.

 

Water? You're brave.

I use microfiber cloths and alcohol-based screen cleaners to clean my electronics, no water allowed.