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She went to America to study English literature.
Literal
She [topic-は] English-literature [object-を] study [in order to-ために] America [to-へ] went.
Two purposes meet two destinations. ~ために on a dictionary-form verb expresses deliberate purpose — 'in order to study'; the directional へ marks America as the destination of motion. 英文学 is the academic field of English literature (the literary tradition of the English language), distinct from 英語 ('the English language' as a subject). 学ぶ is more bookish than 勉強する — it suggests pursuing a discipline rather than just doing schoolwork, fitting the seriousness of moving abroad for study.