。
She barely held back her tears.
Literal
She [topic-は] tears [object-を] barely held-back.
辛うじて (かろうじて) means 'barely, narrowly, with difficulty.' おさえた (抑えた, written in hiragana) means 'held back, suppressed.' The combination conveys that she nearly failed to contain her tears. 辛うじて is somewhat literary vocabulary.