She made me a star.

Literal

She [topic-は] me [object-を] star [into-に] made.

The Xを Yにする pattern — 'turn X into Y / make X (be) Y' — productively turns a noun into a causative change of state: 子供を医者にする ('raise one's child to be a doctor'), 部屋をきれいにする ('make the room clean'). Here Y is the loanword スター (from English 'star'), used in the entertainment-industry sense of a famous performer. A stock line in showbiz narratives — typically said by a discoverer, manager, or romantic partner who launched someone to fame.