I wouldn't limit it to Christian persecution, no. And I think it's insulting to people facing peril around the world to equate their situation to someone belitting you, or another believer. An insult isn't persecution.
This is:
http://www.persecution.com/
If you want to play the dictionary game, I'll see you and raise wikipedia: "Persecution is the systematic mistreatment of an individual or group by another group." While the article acknowledges a hard and fast definition is difficult to come by, this one seems pretty safe to me: "A program or campaign to exterminate, drive away, or subjugate a people because of their religion, race, or beliefs." Your lesser definitions (including annoyance) strike me as very antiquated; something you'd hear in Victorian England, say.
So no, I'd say your chicken mogul ain't in any danger of being persecuted.