I saw that video before and it cut off just before he pushes that rooster away, if you watch closely, the Ameraucana rooster warns him with a flap, drops his wing and starts doing the shuffle as if he's going to attack. I'm glad to see the longer version and see that the boy easily pushes the roo aside. Pretty cool, he is definitely comfortable with his birds.
I've had some hatch like this, some make it and some don't. I would give the chick a few drops of liquid infant vitamins (no iron) and set it upright in a cup. I hope she makes it.