"We scored a great goal and after that I thought we were in control of the game. We feel like we've had our pockets pinched.
"It wasn't even a corner, but the referee was so inconsistent with his decisions. Corners and free-kicks were given when they shouldn't have been."
Laws had little sympathy for transfer-seeking defender Richard Wood, who was booed when he came on as a substitute.
He said: "The crowd reaction tells you they're disappointed with him and he's got to take it."
QPR boss Jim Magilton was delighted with the manner of his side's win after they held off a determined fightback from the hosts.
"It was a real test of grit and determination so it's a nice win for us," said Magilton. "We knew we were going to be under the cosh.
"I thought Sheffield Wednesday really pressed and they deservedly got back on track. We were under an awful lot of pressure.
"We've been praised for playing expansive football this season so it was good to see us have to dig in and battle. We're still very much a work in progress."
Magilton praised Jay Simpson and Adel Taarabt, who are on-loan from Arsenal and Tottenham respectively, saying: "They both played outstandingly well."
Simpson gave the visitors a 10th-minute lead, firing beyond keeper Lee Grant after latching onto a great through ball from Taarabt.
Wayne Routledge had a great chance to add a second just a couple of minutes later - following another lay-off from Taarabt - but his shot came back off Grant's right-hand post.
Jermaine Johnson struck a 13th-minute equaliser after being sent clear by Darren Potter, his effort going in off Radek Cerny's left-hand post.
Cerny came to his side's rescue shortly afterwards, turning Luke Varney's shot onto the woodwork after the striker found himself through on goal.
QPR's Ben Watson tried a shot on the run which was beaten away by Grant.
Routledge was through on goal just before the break following another great ball from Taarabt, but his effort was saved by Grant.
Johnson had an angled shot saved and Potter putting a free-kick just off-target.
Tommy Miller then struck Cerny's right-hand post with a 20-yard effort.
Rangers had chances to score with Simpson and Alejandro Faurlin testing Grant.
Taarabt also fired into the side-netting and Watson saw his near-post shot go beyond the far post.
After Owls substitute Leon Clarke had a shot turned wide, Kaspars Gorkss (82) snatched the winner for Rangers, meeting Faurlin's corner with a firm near-post header.