Accies had to withstand a second-half barrage as Queens tried to salvage something from the quagmire conditions after mistakes allowed Hamilton to go in front.
The opening goal came just after the half hour when both David Bagan and then David Craig mis-timed clearances and allowed the ball to float out to Mark Corcoran on the right.
He blasted home a tremendous 30-yard angled drive into the roof of the net.
Queens, however, created chances to pull level but skipper Steve Bowey sliced a shot when well placed just 15 yards out before keeper David McEwan produced a fine save from the same player to keep his side's lead intact.
Hamilton were unlucky when Corcoran again cut in from the right but this time his shot rebounded off the post to safety.
They did increase their lead three minutes into the second half when substitute Paul McLeod ran on to a long ball out of defence and slotted it past the advancing keeper.
Within six minutes Eric Paton brought his side back into the game with a well-placed free-kick from just outside the box.
Following that it was almost all Queens as they piled on the pressure and penned the Hamilton men into their own half.
However, the Accies defence stood firm and rebuffed everything that Queens threw at them.