Under your battery, there is a quarter-sized spring loaded sensor that comes into contact with your battery. Apparently it's there to modulate the charge rate based on battery temperature.
My guess is that you have a short in the wire leading to the sensor. You will need to remove the battery tray and inspect the wire carefully. What happens is that wire gets pinched between the body and battery tray, and creates a short. If you clear the codes, they will come back as soon as the short makes contact with the body again. Once you find the short, repair it and then put the tray back in and install the battery after carefully routing the wire so it does not get pinched. Look for a flat spot on the wire. Go might not be able to see the explsed copper, but it is likely there in the crushed section.
As far as I can tell, you can run with the code without damage to the vehicle, assuming you are not trying to run where the temperature goes sub zero. But I'd fix it and be done with it.
BTW, this exact situation happened on my 2002 Sahara Wrangler, and it has not recoded since then fix a few years ago.