Just adding to the general consensus:
If he is establishing a complication relating to an Aspect of his (or potentially, a Scene Aspect, though usually the GM uses those), that would be worth a FP for a self-compel.
If he is establishing a Fact which didn't exist before, that's a Declaration. You are free to make those as easy or as hard to establish as you like, based on narrative value, but they generally aren't worth a Fate Point - in fact, they can *cost* a Fate Point if the player does not want to have to make a roll.
If those Facts are there to complicate the story, not make things easier on the players, then that crosses the line back into a sort of self-compel, and if you like the contributions to the story, definitely reward with a Fate Point, especially if the other players start doing it, too.
However, if the other players are not taking the initiative to introduce similar plot complications, then I imagine they will soon get tired of the de facto co-GM/GM's spouse being rewarded for making life harder for everyone else. I certainly would. Conversely, these Declarations which complicate everyone's lives may be a good opportunity to reimburse the other players with some Fate Points, since they are also being inconvenienced. But you want to avoid making this mechanism into a Fate Point farm.
Ultimately, the role he has adopted is not an established part of the whole DFRPG mechanic, and you may end up needing to discourage it in order to make sure all of your players are having a good time. Which is the primary goal! But if everyone is having fun, play on!
