。
She acted with courage.
Literal
She [topic-は] courage [object-を] holding acted.
勇気を持って行動した — 勇気を持って ('with courage, holding courage') uses the te-form of 持つ as an adverbial. 行動する (こうどうする, 'to act, take action') is a formal suru-verb.
。
She acted with courage.