If she pushed someone under a car that she could see approaching then surely that demonstrates intent? That was my point - merely making contact isn't the same as deliberately pushing.
For murder, they'd effectively have had to prove that she was thinking along the lines of "excellent, car coming, let's shove her under it so she get's killed, or at the very least, maimed". The intention to kill or cause grievous bodily harm is required for it to be murder. I doubt the evidence was there to do that, and I doubt that's what happened in practice. I don't think she was paying much attention to the road at all. I think she was pissed off a cyclist was on the path and pushed her to get her out of her way, maybe to get her off the pavement and prove a point, not to deliberately throw her under the car to hurt her. Manslaughter is appropriate in that circumstance because she's being reckless to the risks, but I don't think they'd have got a murder conviction from that CCTV footage.
As for pushing vs just contact, shouting 'get off the fucking pavement', waiting until a cyclist was alongside you, then reaching out towards them (she didn't 'raise her hand' in the sense most would understand it, it went out not up, which is a pushing motion towards someone) is certainly enough to suggest to was aiming to push her. It seemed clearly intentional, not accidental.
If you watch the video on a large screen (I didn't see it on my phone as clearly) her bodyweight shifts towards the cyclist when she extends her arm, and she retracts her hand when the cyclist is coming off her bike at pretty much exactly the height it would be to have pushed her shoulder. Watching it on a large screen, it really does look like an intentional push. The comment she "may have made contact" just seems like an attempt to minimise what witnesses may have been saying about her pushing her.