Hi Alan and Dennis and thanks very much for your respective replies!
(Alan): I am running Win7 Pro SP1, 64-bit. When I click on the "Display hidden icons" in the Taskbar, I still see nothing for the Speccy program temperature icon. In checking the list of all icons (by clicking on the "Customize" link, there is nothing shown for Speccy there either. (Dennis): The screenshot you posted matches mine exactly.
I'm sort of stumped on this one, though it's not that big of a deal since I can still just run the Speccy program and see the CPU and HDD temps that way.