A science question

Is anyone else a little confused as to how Hyperphysics defines Heat and Heat Transfer. They define Heat as "energy in transit from higher temperatures to lower temperatures" and Heat Transer as "Transfer of heat from higher temperatures to lower temperatures."Equating the "heat" term, Heat Transfer becomes "the transfer of (energy in transit from higher temperatures to lower temperatures) from higher temperatures to lower temperatures." That seems nonsensical. Instead of "Heat Transfer" shouldn't it be "Energy Transfer?"Also, I'm a little confused as to why EM radiation isn't heat, considering it is "energy in transfer."Is it because that energy isn't necessarily travelling from a higher temperature to a lower temperature? In other words, "heat" is the transfer of energy between two bodies of different temperatures, and the transfer is contingent on there being two bodies of different temperatures, whereas the energy in transit due to radiation is the result of the temperature of one body, and doesn't necessarily go from a higher temperature to a lower temperature.