Deer just act differently.
I've had em turn and run like the wind with
red pudding for heart and lungs after I shot em.
Shot em with arrows and they would just shudder
and start grazing with a red gusher out the sides
until they just toppled over empty.
They do whatever they want to do whenever they
get ready to.

As long as it was rendered to freezer bags,
I wouldn't give it a millisecond's worth of
thought. IMO we try to overthink everything
involved with killing a whitetail deer.
They're just an animal, just like any other,
only especially tasty.

Good Luck