Eureka! This issue is solved.
When I went into Avast, I thought I would click on the Update program button just for the heck of it. When I did, Avast reported that the program was already up to date, but then prompted me that a restart was required. I used the Avast dialog window to initiate the restart. Upon restart, my Mail Shield has been restored AND I am now receiving and sending emails across all Gmail and Yahoo! Mail accounts.
Based on my Windows Programs and Features, it appears that Avast was trying to perform an auto-update of the program around the same time that Windows 10 CU4 auto-update was trying to run. Windows showed that Avast was updated on12/06/2015, but as indicated by the Avast console, it was still awaiting a restart. Even though the Windows 10 CU4 update rebooted the computer multiple time to complete this massive update, I'm guessing that it interrupted the Avast update and was therefore never completed until now.
Thanks for the couple of you who replied to my original post so quickly!!!