That's all she did. Unless you want to count "speaking meanly" and swinging her arms in time with her gait as she walked. She never even raised her arms, much less made a threatening move.
You're telling me it's cool for that to be the police default response? Bull****.
I would respond similarly to your description, although I would probably start with an eye gouge/rake as opposed to a throat punch, as that has a higher percentage of landing, would stop the altercation, and offer less potential lethal results--but, like you, all after retreating at least a couple of time. Heck, not just for her benefit. If I can get witnesses testifying that I retreated as far as I could before maiming them, it's a win for me.
Now... Why did that body slam on pavement need to be the default for someone walking toward an officer, speaking meanly, and not even having raised their arms in a threatening gesture? He's scared of a knife? Well, wrapping them up is a stupid response to fear of getting stabbed.
He was either untrained or a psycho.