From the Kate handbook:
The built in Terminal Emulator is a copy of the KDE Konsole terminal application, for your convenience. It is available from the Settings->Show Terminal Emulator menu item or by pressing the F7 key, and will get the focus whenever displayed.
Doesn't work. Pressing F7 brings focus to a command area above the Terminal Emulator. I don't even have a Settings->Show Terminal Emulator menu item. I do have a terminal button which can be mouse clicked to bring up the Terminal Emulator, so the emulator is
there and working. I just can't guess how to focus the emulator with the keyboard.