Jazzepi, immortal gods or regular ones. Lamabeast is only talking about immortal gods in their own dominion. All non-immortal gods are subject to fear and moral checks. They souldn't break as easily due to their 30 moral score, but they do indeed break.
If you've got full magic, as Agartha I'd try Petrify in Earth magic.
As I recall if they fail their MR check it's instant death (unless they're already made of stone, and some other cases - a Wyrm should be petrifiable), if they pass their roll they still get paralysed, which makes them much less troublesome.