。
She made me hurry.
Literal
She [topic-は] me [object-を] caused-to-hurry.
急がせる is the causative form of 急ぐ ('to hurry, to rush') — the causative ~せる/~させる on motion-state verbs creates 'cause [someone] to do X.' The を marker here on 私 is the standard choice when the causative carries a coercive flavor — 'made me hurry' rather than 'let me hurry,' which would prefer に. 急がせる pairs naturally with situations of impatience, deadlines, or being pushed to keep up.