"Alien Big Cat" is the official term for a non-native, large cat, and refers to pumas and also to panthers, leopards, lynx, and any other big furry cat-like critter that is living wild.

BBC: The Surrey puma: Fact or fiction?

Only the Cape genet (a spotted, cat-like mammal native to southern Africa) attempts any level of interaction with us on the first night, skulking just outside the light circle of the campfire in anticipation of some leftovers, having become accustomed to the free handouts at the overnight stopping points.

WSJ: Trekking in Otter Space