I went "awww" until I read wikipedia about them and saw that they're invasive. They're native to South America, and have been introduced to other places around the world by fur traders.
The fact that the animal was brought by people somewhere it doesn't belong doesn't mean it can't inspire an aww. It's just one more bad thing about people, not about the animal.
They are a serious danger for dams and dikes, as they like to build their tunnels in them. And they had to close a train line recently because Nutria basically destroyed the embankment under the tracks.
I know that's not good, but somehow it makes me aww even more. Even native nature collides with civilisation and I do like many aspects of civilisation, but I view nature as an underdog, so I tend to cheer for it.