The best way I know to take down and emu is with a machette.
They are very inquisitive (sp) birds but if spooked can run about 40mph and will be gone in no time.
What we used to do back home is lay on your back when you see one and start kicking your legs in the air they will come over to have a look.
They just cant help themselves then when it lowers its head strike with the machette.
Other than that you can aim for the small wings that should get you through the vitals.
Aussie by birth Texan by choice