。
She was given permission to use the library.
Literal
She [topic-は] library [possessive-の] usage-permission [object-を] was-given.
The passive form 与えられた (from 与える, 'to give') marks the subject as the receiver of the action — a standard 'receiving' passive, not the adversative type. The compound noun 利用許可 combines 利用 ('use') and 許可 ('permission') into a single term, a productive pattern in administrative and formal Japanese where two-kanji nouns stack to form precise terms.