Who among the following is not a recipient of the Nobel prize for literature?

The correct option is W.H. Auden.

To understand why, let us look at the Nobel Prize history for each of the individuals listed:
1. Winston Churchill: The former British Prime Minister was awarded the Nobel Prize in Literature in 1953 "for his mastery of historical and biographical description as well as for brilliant oratory in defending exalted human values."
2. T.S. Eliot: The renowned poet and dramatist received the Nobel Prize in Literature in 1948 "for his outstanding, pioneer contribution to present-day poetry."
3. W.H. Auden: Wystan Hugh Auden, though regarded as one of the most influential and greatest poets of the 20th century, was never awarded the Nobel Prize in Literature.

Therefore, among the choices provided, W.H. Auden is the one who did not receive the Nobel Prize for Literature.