First: Awareness: Avoid engagement.
As you say, keep your head on a swivel...I tell my kids that exact phrase all the time. Cross the street no matter how awkward you feel...maybe especially if you feel awkward. Watch a block or two in advance, watch the sides, watch the rear...you can train yourself to do that as you carry on a conversation; it doesn't have to be obvious what you are doing. And, if a potential aggressor sees you looking around, he might think you aren't an easy mark who will surrender immediately.
I've seen a group of women walk down the sidewalk at night on an urban street, chatting up a storm with each other, totally unaware that two "youths" were approaching them from the front. I had seen the guys get chased out of a restaurant by a bouncer a block ahead, so I'd been watching them closely ever since, but the women were totally unaware of what had happened, even though it happened basically right in front of them. These guys were out to cause trouble. Lucky for the women, their goal was to scare the crap out of the women, and then laugh their asses off about it, not actually harm the women. They did it. I told my wife, "Watch." Initially, she was looking all around, not knowing where the action was going to occur....
Second: If engaged, immediately (and I mean immediately) switch into crazed beast mode: active, violent aggression of all possible types.
A woman's chances are slim, but this gives the only opportunity. She has to surprise the guy with her aggressiveness, and the aggressiveness needs to be violent and fast and non-stop. And, you are right that she needs to seek an escape the entire time. Her mind basically needs to split in two: (1) Half of her brain directs an attack with intent to maim as much as possible, without pausing to see if the man reacts. If she pauses to check if her strike to the eyes or groin worked, he will knock her out. The only reaction that is important is him disengaging completely, and she doesn't have to pause to notice that. And, she has to fight through the pain, no matter what. Pain should trigger another attack, not a sob. He may decide she isn't worth the hassle, or is attracting too much attention. (2) The other half of her brain needs to continuously seek an opportunity to retreat at the first possible moment.
The problem is, who wants to train their daughters to be that way? And if you do train your daughters to be that way, people think you are weird. So, society passively compels most parents to fail to train their daughters how not to be victims.
[Edit: I just watched the video. Apparently some parts of society train their daughters to be killers. My kids would be at a tremendous disadvantage since they aren't killers.]