On my PD we had guys that were shooters, and guys that weren't. A bunch of us just loved going to the range when ever possible. And we had guys you would want by your side should something go down (usually the same guys), and guys you wouldn't.
I worked with a woman who wasn't really what I would call a "shooter". The day her parter was shot and killed, she was also shot in the gut and went down. She was still able to shoot the bad guy in the back of the head at a good 10-20 yards.