Your kill
A condition of a DOC hunting permit is that all rubbish should be removed, and that offal and carcasses must not be left in or near visitor facilities (including tracks, campsites and huts), or waterways.

Two fallow deer shot by hunter
Burying animal waste is generally accepted as the best method of disposal, so remember to take a small shovel. Bury it well away from tracks, huts, campsites and waterways.
The New Zealand Food Safety Authority (NZFSA) provides information about how to keep your catch safe for eating, and also the regulations on trading homekill and recreational catch.
There are specialist game butchers in many parts of New Zealand who can turn your kill into steaks, sausages, burgers and whatever else you want.