If you use Teamviewer regularly, you may find yourself dragging the new remote session to your other screen when connecting to a device, as you prefer to use it on the other monitor.
The only current way to make it so the session starts on a different monitor is to set the desired monitor as the default (which will also affect the taskbar). New TeamViewer connections use whichever monitor is set as the primary one within Windows to display the new session on.
