Just to close this question out entirely, I did fix my problem. The circle with slash assurable meant that it had an app being identified, but macOS couldn't find it (at least not the right PART of it). I later found a VMFusion description on how to completely remove it. Turns out there were still some files (and executables) of VMFusion still on the disk, so it "thought" it was there when in fact it wasn't. I was able to remove all of the files associated with VMFusion (there were 2 accounts that had files in them, so I had to log in to each and remove the files), then shutdown and then reboot. Voila, the circle with slash disappeared. Moral of the story: don't ASSUME that just putting an App in the trash will work. Check first if there is an Uninstall procedure to use. In this case, I still would not have been able to RUN the Uninstall VMFusion procedure (since VMFusion 3 does NOT run under macOS Sierra); I still would have had to remove it manually using the recommended (and documented) VMFusion uninstall procedure located on the VMFusion website.
I may eventually reinstall a CURRENT version of VMFusion (it was good software!), I just don't currently have a need for it, and the old version did not work any longer because I upgraded to macOS Sierra.