Deer are a point of division in the hunting community.
I don't know the rules for all the states, but I can highlight the different approaches different places have with just 2 examples.
In Victoria, they only want to hunt deer "sustainably", so they have recognised "Deer Habitats".
It's also illegal to hunt them at night with a spotlight (the easiest method, they'll literally stand still and look at the light) or use a thermal scope (which of course helps silhouette a naturally camouflaged animal), even during the day.
In South Australia, we have shoot on sight laws - as in you're legally obliged to attempt to humanely kill feral deer when possible.
Kind of says it all, doesn't it?