Hmm. A 'rut' has been taken from the natural world, by definition, and bastardized into meaning 'getting stuck in an unavoidable, repeated behavior'. It's true original definition is as follows:
rut - noun, verb
1. the periodically recurring sexual excitement of the male deer, goat, sheep, etc.
It's marked by a time of combative, aggressive behavior toward other males, intense fights, and only draws to a close when the most dominant males have successfully mated with the acceptant females.
As a name for a movie, I'm not sure how that applies. Nor do I see the usage of the 'falling into a rut' defintion having any better appeal. A more engaging name might be a good consideration for the film.