His character was pretty shit yeah. His whole the company doesn't like me because I'm religious thing made me scratch my head a bit and then he willingly gazed in to the abyss so to speak and I was thinking, well actually maybe they don't trust you because you are a fucking idiot.
See I think he's just an idiot, myself.
But Ridley really believes it was because he was religious. (22:40)
Oh, and I guess it's called Covenant because of the colonists coming over to the Americas and their own "covenant" they made on their way there (think of the Mayflower Compact). That answers my own question. X(