Lily, a wife and a mother of two children, plays the role of a homemaker. Her day-to-day work involves doing household chores, preparing meals for her family, and keeping the house clean. According to the structural functional theory, Lily is performing a(n) role.

Lily is performing an expressive role.

Explanation:

From a Sociological point of view, the expressive role refers to that which carries all the functions a female should carry out within the family, it is the woman's role.

Her role within a family is to provide love, protection, care, security and emotional support.

In this Case, Lily is performing this role since she is playing the homemaker, she does household chores, prepared the food and cleans. From the Functional theory's point of view, she's carrying out an expressive role.