Missing Database Mail Configuration Wizard in SQL Server 2008 R2
I figured out the problem.  I found that I was unknowingly running Express.  I had incorrectly assumed the Express designation would be more visible withing the initial result of the @@version query


In SSMS run the SELECT @@version query
Grab the column edge and drag it all the way to the right. Within the copyright information it will list Express.


From what I am finding online there are features of Database mail that exist in Express and that is why I was able to enable and run it.