If you play through the game there are only two "missable" trophies. You can go back and get them at any time. The first one is the Black Bear which is found in the Northeast Region and the second is the Blacktale Deer which is in the Northwest Region.
I compiled a list of animal locations as well as the list of animals needed for the trophy.
Southeast Region Animals:
Whitetail
Wild Boar
Southwest Region Animals:
Mule Deer
Pronghorn
Northeast Region Animals:
Black Bear
Caribou
Moose
Whitetail
Northwest Region Animals:
Blacktail Deer (At the top next to the grizzly bear, only one on the map, the only one that is missable)
Grizzly Bear
Elk
Moose
Trophy Collection should have a total of 10 animals in it:
Whitetail
Wild Board
Mule Deer
Pronghorn
Black Bear (MISSABLE)
Caribou
Moose
Blacktail (MISSABLE)
Grizzly Bear
Elk
Moose