An idealistic priest is hunted by Church agents after he uncovers a plot to release a virus that targets non believers.

Now *THAT*'s interesting.

Consider the word "Idealistic". To me, this sounds like a normal attribute of a priest rather than a fatal flaw.
I'd swap it for something describing a stronger flaw, or a deeper or ironic flaw.

Thanks to both of you for the feedback, I'll be back with a revision soon.