I hit my first deer during a night-time driving lesson. It just manifested itself in a turn right in front of the car. It happened so freaking fast that even my driving instructor didn't get right away what happened. (To be fair this was his first deer accident too). There were just something flying in front of the car, getting hit and flying away to the side of the road.
It was very different from my imagination which formed during my childhood hearing adults talking about split second decisions in case of a deer appearing in front of the car.