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

The correct option is W.H. Auden.

Let us look at each of the individuals mentioned in the options to understand their association with the Nobel Prize in Literature:

1. Winston Churchill: Sir Winston Churchill, the former Prime Minister of the United Kingdom, 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: Thomas Stearns Eliot, the renowned poet and dramatist, was awarded the Nobel Prize in Literature in 1948 "for his outstanding, pioneer contribution to present-day poetry."
3. W.H. Auden: Wystan Hugh Auden was an exceptionally influential Anglo-American poet, playwright, and essayist. Although he was nominated for the Nobel Prize in Literature multiple times, he was never awarded it.

Therefore, among the given options, W.H. Auden is the one who is not a recipient of the Nobel Prize for literature.