She works as a nurse at a local hospital.

Literal

She [topic-は] local [possessive-の] hospital [at-で] nurse [as-として] is-working.

看護婦 ('nurse,' female) is the traditional term — the gender-neutral 看護師 is now standard in official contexts, but 看護婦 remains common in everyday speech. ~として marks the role, and 地元の ('local') specifies the hospital. A straightforward occupational sentence.