Dyer took home the Alan Hardaker Trophy for his man-of-the-match performance which included netting the first and third in Swansea's rout of their npower League Two opponents, with Michu and a De Guzman brace rounding off the scoring.
Dyer had put Swansea 3-0 up when De Guzman was felled as he attempted to round Bradford goalkeeper Matt Duke, who was sent off by referee Kevin Friend.
While Bradford readied substitute shot-stopper Jon McLaughlin, Dyer and De Guzman were involved in a furious row over who was to take the spot-kick, with Swansea not having a designated penalty taker due to not being awarded a single spot-kick previously this season.
Dyer felt De Guzman should pass him the responsibility to allow him to complete his hat-trick, and the debate was only resolved once Michu separated the pair having headed over to the touchline to take instructions from manager Michael Laudrup.
De Guzman eventually scored and shared an embrace with Dyer as they returned to the halfway line.
Dyer said: "I had two goals and it's not every day you get the chance for a hat-trick at Wembley so I wanted the third but I didn't get the chance and that was that.
"It was disappointing but the most important thing was that we scored the goal and won the match. It's all done and dusted now."