Concept:
Justice M. Fathima Beevi became the first woman Judge of the Supreme Court of India when she was appointed on 6 October 1989. Her appointment marked a historic milestone in the Indian judiciary.
Step 1: Recall the historical fact.
Justice M. Fathima Beevi was the first woman to serve as a Judge of the Supreme Court of India.
Step 2: Analyse the options.
• 1927 -- Incorrect.
• 1992 -- Incorrect.
• 1989 -- Correct.
• 2023 -- Incorrect.
Step 3: Final conclusion.
Hence, the first woman Judge was appointed to the Supreme Court of India in
\[
\boxed{1989.}
\]