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.  

Almost certainly lost for white- no active counterplay (e.g. a passed pawn). Black's plan is switching the king to the queenside, where he has an extra pawn, and meeting this plan is very difficult.

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.

Well, I'm not very keen playing ...f6. Why should I create a liability at e6?

If necessary, ...g6 looks like the most sane pawn move on the kingside. The game will be decided on the other flank- in some cases there is a plan where Black's king goes straight down the board to gobble white's b-pawn. Of course this can be met with a lot of checks, but still it's something to consider.

Here is a correspondence game I played. Of course matters are simpler in that one, as white has two extra pawns, and Black's king is more exposed to checks, but still the same idea: The queen guards the pawnchain bases, and his majesty goes out for lunch!