Well, possum and Armadillo are both greasy---good but greasy.
As far as Cajuns go----they ate Nutria until they found out what food was.
Possum and armadillo was pretty common fare in East Texas when I was growing up. Rattlesnake (snakes in general) were not uncommon food.
Now, mind---momma was not the cook---this was man food for camp.
Stews---best not to ask what the meat was---might have been a kin-folk.
Blessings

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TEXAS, by GOD