Name the playwright who composed the play A Woman Killed with Kindness.

The correct option is Thomas Heywood.

Detailed Explanation:

1. Identify the Play: A Woman Killed with Kindness is one of the most famous and enduring plays from the English Renaissance theatre. It is widely considered a masterpiece of the "domestic tragedy" genre, which focuses on the domestic lives, relationships, and moral struggles of ordinary middle-class citizens rather than kings, nobles, or mythological figures.
2. Determine the Authorship: The play was written by the prolific English playwright and actor Thomas Heywood (c. 1573 – 1641). It was first performed around 1603 by Worcester's Men and was published in 1607.
3. Context of the Other Options:
- Francis Beaumont and John Fletcher were famous for their collaborative works (such as The Knight of the Burning Pestle and Philaster) rather than domestic tragedies of this style.
- Thomas Kyd is best known for pioneering the Elizabethan revenge tragedy with his highly influential play, The Spanish Tragedy.