。
She turned down every application.
Literal
She [topic-は] all applications [object-を] refused.
申し込み ('application / proposal / request') is the noun form of 申し込む — covering job applications, marriage proposals, sign-ups, and any formal request that has to be 'put forward'. 断る ('to refuse / decline') is the standard verb for turning something down; the two often appear together as 申し込みを断る. すべての sweeps the object set: 'every single application'. The plain past 断った lands the action firmly in the past with neutral register.