She was studying theater on a special scholarship.

Literal

She [topic-は] special's scholarship [object-を] received-and theater [object-を] was-studying.

特別の vs 特別な — 特別 can be modified with either の or な. With concrete things, both are acceptable; な is more common in modern usage. 奨学金をもらう ('receive a scholarship') is the standard collocation. 演劇 ('theater, drama') refers to stage productions specifically.