Queen ending: enough to win?

I got lucky (as White, in a recent OTB game) since my opponent blundered with Qb7 allowing an immediate perpetual.

However we disagreed on the most likely outcome otherwise. I think my opponent thought Black should win this 70% of the time, while I felt White should draw with good play. Of course I have lost many queen endings that I thought were easily drawn so maybe there are more tricks here than I realize.

But obviously Black needs the queen to support the (eventual) passed pawn or else play the weakening ...g6 to give the king some room, or ...Kf8-e7 which runs into Qh7. So it seems like it will be difficult for Black to win. What do you think?

I would say its a draw, more than likely by perpetual check.  

Just kidding, upon "further" inspection, ...f6-Kf7 exists. I guess that's enough to get the king to the queenside.

I guess I agree with pfren.