Examining the picture closely, you'll see that while she does have her off eye closed, she is not squinting. The two handed grip is mostly an American thing, at least in police circles. It does provide a more stable hold, but sometimes, often in fact, you need your other hand for something else, say grabbing your handcuffs, or holding onto the dog's leash, and so you shouldn't be limited to the two hand grip.
I think you'll find her weapon is not the usual police-issue PM *Makarova* Soviet-designed military service pistol, but the similar but larger APS or *Stechkin* machinepistol, sometimes also found fitted with a stock that can double as a holster, much like those for some versions of the German Luger and Mauser pistols, and the Browning Hi-power.
The APS is actually better used with a single hand in close, allowing the rise of the shooting hand to vertically string the shots through the target from crotch to knees to face, placing as many of the little full-jacketed 9mm bullets into the recipient as possible with the one or two bursts per magazine possible.
With the selector switched over to semiauto, the APS reverts to a standard semiauto handgun, a bit clunky and less concealable than the PM but certainly easy to shoot. The APS was fairly popular in Southern Africa when I was there in the late 1970s, and its muzzle flash at night is a beacon screaming *throw grenade here*. But they're not all bad....