I think, as some others have suggested, that Verin is the representative of a secret society within the White Tower that has been planning for the Rebirth of the Dragon. I will not be surprised at all to find out that Gitara Moroso was the "leader" of this society. This group pre-dates Moraine and Siuan, and when those two happened to be in the room when the revelation of the Dragon's Rebirth happened, they ended up carrying the ball, i.e., planning on how to guide the Dragon to the Last Battle before the BA or others in the White Tower got to them. The Amyrlin at the time was a member of this group, but got offed by the BA before Moiraine and Siuan could be brought in. Verin is simply trying to carry out "the plan" of this society.