I'll let others advice on the fence. But note that the ground must be absolutely clear of nails and bits of glass, as emus love to eat shiny things.
sigh
SE
' I wasn’t sure if taming it would allow me to get away with a shorter fence'
Morning, guineachicken. Emus have a pretty simple 'on-board computer.' So, okay, a really tame bird will be less spooked by . . . stuff; but the run-ins that emus have with fences come when something spooks them good...