There is no doubt that the shove—which was extremely aggressive in nature—was deliberate. Whether the officer intended for her to get hurt as she did is irrelevant.
I wouldn't call it extremely aggressive. It was forceful sure, a sober person would have easily remained upright. And its not irrelevant whether he intended to harm her or not. It was an accident, he overestimated her ability to stand in her state. Drink drivers are hated by Police. Before she left the Police, my Mum used to come home crying half the nights because she'd witnessed the scene of a drunk driver taking out a small child at speed and fled. And this is the countryside.
So he pushed her, a little hard sure. She ended up hurt, he didn't mean for it to happen, he got her medical help right after. There's a difference between accidently hurting somebody and deliberately mistreating them.
My dad is still a police man and he's told me stories about times a suspect tried to escape, still in handcuffs. He grabbed him by the belt and cuffs, spun him around to throw him into the back of the car, and realized too late that the backdoor was still closed. With a thump. Although it can't have helped that 1 week prior, that same scumbag had assaulted me because I asked him for ID when he tried to buy alcohol.