Sir Elton John caused controversy at the awards when he accused best live act nominee Madonna of cheating fans by miming on stage.
"Anyone who lip-synchs in public on stage when you pay £75 to see them should be shot," Sir Elton said.
But Liz Rosenberg, Madonna's US press agent, denied that the star used lip-synching when performing live.
"Nor does she spend her time trashing other artists," she said.
"She sang every note on her Re-invention tour live."
Full list of Q Award winners 2004:
- Best new act - Razorlight
- Best producer - Mick Jones (for the Libertines)
- Best live act - Muse
- Best video - Franz Ferdinand (Take Me Out)
- Q Merit Award - Shane McGowan
- Best single - Jamelia (See It In A Boy's Eyes)
- Q Innovation and Sound Award - Human League
- Q Inspiration Award - Pet Shop Boys
- Best Album - Keane (Hopes and Fears)
- Best Act in the World Today - Red Hot Chili Peppers
- Q Classic Songwriter award - Sir Elton John
- Q Icon Award - U2
- Q Lifetime Achievement Award - Roxy Music