Final answer:
Option 4: T.S. Eliot was a multifaceted figure in literature, known as an Anglo-American poet, playwright, and literary critic with significant contributions to the Modernist movement.
Step-by-step explanation:
T.S. Eliot was an influential figure in 20th-century literature and his contributions span across multiple domains within the literary world. He is best known as an Anglo-American poet whose work, such as The Waste Land, marks him as a central figure of the Modernist movement. Eliot's innovative and complex poetry often reflected the sentiments of a post-WWI disillusioned generation. His poem 'The Love Song of J. Alfred Prufrock' is a poignant portrayal of modern man's insecurities and alienation.
Moreover, Eliot's endeavors extended beyond poetry—he was also a playwright, crafting notable works such as 'Murder in the Cathedral'. Furthermore, his influence as a literary critic was significant, as evidenced by his essay 'Tradition and the Individual Talent' and his editorship at The Dial, where he helped promote Modernist writers. His thoughts on literary criticism, such as his views on the 'objective correlative' and critiques of Shakespeare's Hamlet, have left a lasting impact on literary analysis.
Hence, the comprehensive answer to the student's query is that T.S. Eliot was all of the above—an Anglo-American poet, a playwright, and a literary critic.