Operating the PPQ trigger shouldn't be an issue. My lady is 5'1", with little Smurf hands, and she had no problem running it with the out-of-the-box (medium) backstrap in place. The trigger pull is substantially shorter in rapid fire, as the PPQ is by far the easiest striker fired pistol to 'ride the reset' with that I've handled. It's virtually impossible to short stroke a 1/10" reset.
Currently Own: Beretta PX4 9mm, Glock 23 (Gen 4), Glock 19 (Gen 4) x2