It's hard to tell from that photo alone but it looks pretty suspect. Remove the splash shield and take a look from underneath.

 

Thanks John! I'll do that next. Does anyone know of a good service manual from my 2013 Oddy EX-L. I wonder if the transmission cooler was standard on the EX-L model, or was it an add-on? I'm guessing that the previous owner may have installed it because the when I changed the motor oil for the first time, the drain plug was on so tight that it completely broke the crush washer. I had to use an impact to remove it. Additionally, I had to puncture the oil filter with a screwdriver to remove it as well. Apparently, the 1st owner has never heard of torque specs!

 

Trans coolers in front of the condenser are an add on. They don't come from the factory. The only trans cooler that is stock is the one in the bottom of the radiator.

In the previous owner's defense, many oil change places overtighten and damage things all the time. It's why I never take my vehicle anywhere for oil changes. I just do it myself.

 

The transmission external oil lines to the radiator and back are prime suspects in a trans oil leak. Look at every connection starting with the trans. Chances are you'll find it right away. In case all oil lines are dry, one thing to quickly check is your coolant. Look at the coolant surge tank to see if you can find oil in the coolant which would indicate a leak inside the radiator. This is rare and I doubt its happening but just saying. If you still don't find it look at the seals where each front axle comes out of the final drive for wet fluid. If none of this tells you where it is, you will need professional help with it.

 

I have the same issue on my 2013 Odyssey. Did you ever find out where the leak was coming from?

 

Most of the time it is rusty lines that go to/from the lower radiator tank where the transmission cooler is.

-Charlie