'head away from' is correct and commonly used in written English.
It can be used to describe a direction or movement. For example, "We started to walk, heading away from the town center."
It's something that puts my head away from tennis.
As you head away from the mosque to the right, the atmosphere is quieter and calmer.
In one photo, a woman craned her head away from a breast festering with bubbles.
You don't even have to turn your head away from the TV".
"I asked him to turn his head away from me, and there it was, a penis!
He repeatedly turns his head away from his opponent, a very, very dangerous thing to do.
"Never sleep with your head away from the fire," says François, laughing.
Annalee turns her head away from him as she starts to cry.
For a shot of orientation, head away from the waterfront to the fancy welcome center called Discover Portsmouth.
Just as she turned her head away from the windows, the room was filled with a blinding light.
The vision is binocular, and depth perception is often enhanced by moving the head away from the central plane.
