I started Word in the Safe mode and the problem still exists.
I tried the Office repair application listed above with out success.
I have an updated version of Norton's 360 Premium Antivirus program that is not detecting the "wordicon.exe" file as being a problem.
I tried Norton's Power Eraser to remove the file without success.
I re-installed the Office 2007 programs in repair mode without having any change made to the problem.
It seems that some virus files list themselves as safe wordicon.exe files to mask them being detected by antivirus programs.
I'm going to remove my Office 2007 programs, re-install them as new files and copy over my documents to see if this gets rid of the problem. Before I do this, if someone has another answer, I'm up for trying it.