Re: If Q and Apollo got in a fight...
I don't remember if we ever saw Q hit by phaser fire. He does freeze a guy for pulling a weapon on him in "Farpoint", so he may be vulnerable to some things. And, he's wary of Guinan in "Q Who".
Curly: If at first you don't succeed, keep on suckin' til you do succeed.
--Movie Maniacs (1936)