The person who initially set up the appliance points out that the VM runs a VNC server. (Which is a GUI, graphical user interface.) The "console" (and the TUI running thereunder) is presented in the terminal simulator via VNC, even though no console is presented via the usual KVM virtual console that I normally connect to using  Hope this can help some future users.
Some essential tasks can only be performed in TUI.  There is an entire section Configure OpenManage Enterprise by using Text User Interface in the user manual.  How to I get onto the TUI?  I am using an appliance installed in KVM on CentOS Linux. When I searched the manual, the most relevant sentences are "When you boot the system for the first time from the Text User Interface..." and "When you boot the system for the first time from the TUI..."  Obviously I didn't install the appliance.  If I am to restart the appliance, I'll just go to the host's OS and restart the VM.
How to download/invoke OME TUI (Text User Interface)