My guess is a ringtail cat (sometimes called a civet cat, though that is not really what they are -- they are actually related to racoons.) They are about the size of a "healthy" domestic cat, with yellowish-grey short fur, a very pointy little head, long legs, and a lovely fluffy tail that usually has grey/white rings -- but the rings are not always clear enough to see easily. I grew up near Houma, and we occasionally would see one in the woods behind our house.
You can find photos if you Google, but it's hard to find any where the legs are clearly visible in profile -- these are nocturnal animals like their cousins the racoon, and they tend to crouch when discovered.