cower (away) from someone or something
to pull away from someone or something in fear. The coyote cowered away from the fire.
cower down (from something)
and cower down (with something)to crouch down, displaying an emotion, such as fear. They cowered down with sheer terror. I would cower down from fright in a similar situation.
cower from something
to drawback from the fear of something. The wolves cowered from the flames. Some excited hyenas cowered from the lions as they passed by.