She cried at the news.

Literal

She [topic-は] that news [object-を] hearing [then-て] cried.

The plain, unembellished version of the news-and-tears scene: 泣く is the basic, unmarked verb for crying — no breakdown, no panic, no joy, just tears. The te-form 聞いて links the cause (hearing) to the effect (crying) directly. Compared to richer phrasings (泣き崩れる, わっと泣き出す, 涙を流す), this is the neutral baseline against which more colorful descriptions can be measured.