Niall McGinn took his tally to 11 for the season with a pair of goals in the second half as the Dons defied incessant horizontal rain to end a three-match winless run and climb to fourth, above Saints, who are without a win in four.
Saints boss Steve Lomas labelled conditions `farcical' and suggested the clash should not have gone ahead.
Asked about whether the game should have been called off, Brown said: "No, because of the result. I'm joking. I know Steve and I think if he had won he would've said the same.
"The conditions were poor for both sides and they coped admirably. Considering the conditions it wasn't a bad game."
McGinn and the Dons might have scored more, particularly in the first half when Alan Mannus made a point-blank stop from his Northern Irish compatriot at close range.
Brown added: "I ran out of counting how many saves the keeper had.
"We had a lot of good chances. The only worrying thing is we had so many chances and we didn't get more goals.
"Niall McGinn side-footed it and turned away to celebrate the goal. All of a sudden he found that it was a save.
"We've not been playing badly. We've had dominance of games, but it hasn't been reflected in the score. (Here) it was."