。
She received a large advance for her next work.
Literal
She [topic-は] next [possessive-の] work [for-のために] large-sum [possessive-の] advance-payment [object-を] received.
前払金 ('advance payment') is the standard term for a payment made before goods/services are delivered — common in publishing, music, and any creative industry where artists receive an advance against future royalties. 多額 ('large sum') is the formal counterpart to the more conversational 大金. The phrase ~のために ('for the sake of, in preparation for') marks purpose. 作品 ('work') usually refers to a piece of art, writing, or other creative output; the context here (advance payment) suggests a book or musical project.