T.S. Eliot's “Tradition and Individual Talent” was published first.
Roland Barthes's “The Death of the Author” came later.
Michel Foucault's “What is an Author?” came after Barthes's essay.
Judith Butler's Gender Trouble was published much later in the late twentieth century.
Therefore, the correct chronological order is:
\[
\text{``Tradition and Individual Talent''}
\rightarrow
\text{``The Death of the Author''}
\rightarrow
\text{``What is an Author?''}
\rightarrow
\textit{Gender Trouble}.
\]
So the correct sequence is:
\[
B,\ A,\ C,\ D.
\]