You still need to report the actual, specific code. The “high” in the code description will not refer to high temperature. It will refer to high voltage. E.g. the code P0113 just means that the PCM saw an air intake voltage higher than 5V. This is bad b/c the PCM only ships the sensor 5V - the sensor then returns anything from about .5V to 5V depending on the air temperature. (More voltage back if hotter).
But as ok4450 noted, this shouldn’t give the symptoms you have. First, hook up the code reader again and 1) write down the exact and specific code to post; 2) double check that this is your only code.
Note that your IAT sensor is integrated with the MAF sensor. I think it is replaceable as a separate component, but the first thing to do is carefully inspect all of the wiring that goes to the MAF/IAT. Ideally you also have an electrical meter and can do some testing of the circuit/sensors.