Arizona law is pretty friendly to motorists. Generally speaking, you're not supposed to jaywalk and when you do, you are taking your life in your own hands and the car that hits you is not liable. It's even worse for the pedestrian -- even at an intersection if you walk quickly onto oncoming traffic you do not have the right of way and are responsible for anything that happens to you. It's just not the case that the car is assumed to be at fault in situations like these -- the pedestrian is assumed to be at fault. The pedestrian is not automatically given the right of way and is basically never given the right of way outside of an intersection. This is different than the laws in other states like California.

Situations like drunk driving can make a difference, but in this case that's a hard claim to make. Maybe if the car was swerving out of its way to hit her, you could make that case. But arguing that it wasn't doing enough to stop -- that's a tough sell given AZ law. The car had the right of way, it was not acting maliciously, and she walked right in front of it. According to AZ law, asking the car to make what might be a dangerous last second swerve into another lane or slamming on the breaks to avoid hitting her is not a legal obligation as these are unsafe maneuvers. There might be another car behind them or other cars/pedestrians alongside them so the law in AZ doesn't require these types of high risk actions to avoid hitting pedestrians that walk right in front of oncoming traffic.

Moreover this person was jaywalking at night in an area without street lights, without even bothering to look both ways, across a median, wearing a black hoodie, through a high speed road right in front of a car that had proper headlights and was going a steady speed.

Anyone familiar with AZ law knew that Uber wasn't going to be charged. You may think the law itself is wrong and that cars should be legally required to take last second high risk evasive maneuvers. These are all tradeoffs to which reasonable people will disagree, but changing the law is the job of the Arizona legislature and not of the prosecutor, who made the correct decision, even if it seems like the wrong decision to you.