I came in this morning and checked the mgmt console and the red icon is gone. It has been replaced by the standard icon for the PC. I don't know how this happened, but it is good news.
I tried a manual run on another machine and the same thing happened. The red icon in this case, however, disappeared within 15 minutes or so. I guess this is ok.
Thanks for the help. I think I will just run the scans manually on each machine in my office, at least for a little while.