The "Change the default database to:" dropdown does not include the database I created specifically for GeniusConnect. It also doesn't include many of our other servers, and I'm finding no rhyme or reason as to why the database I created isn't showing up for me to select and configure.

Any assistance in regards to this would be greatly appreciated.

There is no such drop down in GeniusConnect, if you are referring to an ODBC Driver/datasource setting's , please contact your db administrator.