。
She was too embarrassed to look up.
Literal
She [topic-は] embarrassed [and so-くて] looked-down.
恥ずかしくて uses the causal て-form of 恥ずかしい: 'because she was embarrassed.' うつむく ('to look down / hang one's head') is a evocative verb for the body language of shame or shyness — the head drops, eyes avoid contact. It's more specific than 下を向く ('to face down').