I'm looking for the title and author of a short story I read in the early 1980's. It was in an anthology of sf short stories in a library in the UK but that does not mean it was by a British author (I remember the library had a lot of Heinlein, Asimov and Bradbury but I don't think it is by any of them). Most of the books in this small library dated from the 1970's but it could have been written earlier.
Plot summary is as follows.
Story is told from the point of view of a dog or cat like creature that is used by a lone human as a hunting tool, like the way hounds are sent to chase foxes. They land their spaceship on an icy planet and hunt a large tiger like creature that I vaguely recall had several green eyes. This creature repeatedly and telepathically asks the dog/cat creature "what have you done today that was free?"
The large tiger creature is caught killed and beheaded, but later back in the spaceship the human hunter seems to feel remorse or disgust for his actions and throws the severed head in the garbage.
Can anyone out there identify this for me please?