。
She angrily turned away.
Literal
She [topic-は] got-angry [and-て] face [object-を] turned-away.
顔を背ける ('to turn one's face away') is a vivid expression of rejection or displeasure — literally 'to avert one's face.' 背ける is the transitive form of 背く ('to turn one's back on / defy'). The sentence captures a very specific body language: not just anger, but a refusal to face the other person.