I would like to take my girlfriend to see this film but she is very sensitive about animals (especially cats) so if anything bad happens to the cat in this film then it would probably be best to avoid it. No need for details or spoilers, just let me know if there is any cat-related jeopardy.
Implied, but not seen. That's as detail free an answer as they come!
The definitive answer you are loking for would be a spoiler to the film, as the cat's fate is a sub plot of the movie.