Weird that you note her irrelevant banter, but miss the part at 0:40 where she is clearly turning her steering wheel hard to the right prior to accelerating, when he's standing near the left front corner of the vehicle. It's hard to tell if she grazes him with the bumper/mirror or if he just jumps back, and it's a jumpy move to be making with people around -- understandably panicky given the shouted conflicted orders and the armed man reaching in and trying to open her door. But she was obviously not intentionally trying to run the guy over. And the officer's shoot-to-kill response was wildly disproportionate and against protocol. LEO are supposed to be trained to handle high-pressure situations like this, and one who overreacts and kills an unarmed civilian should be held to a much higher standard.
Notice he's also holding his phone out in front of his body making it appear that the vehicle was closer to his body than it really was.