Manipulation and Control: The use of words such as "strategy" and "intrigue" suggests a level of manipulation and strategic planning in their relations. This indicates that they are not open and honest with each other but rather are trying to control the situation to their advantage.

Jealousy and Envy: The poem hints at feelings of jealousy and envy between the man and the woman. They are both possessive and guarded, not wanting to give the other an advantage.

Emotional Distance: The relationship portrayed in the poem lacks genuine emotional connection and intimacy. Instead, there is a sense of emotional detachment and a focus on winning the battle rather than nurturing the relationship.

Lack of Mutual Understanding: The man and the woman in the poem seem to have a poor understanding of each other's feelings and motivations. This lack of understanding contributes to the tension and conflict between them.

"The Rival" reflects the battle of the sexes through its depiction of a competitive and contentious relationship between a man and a woman. The poem explores the themes of power, control, jealousy, and emotional distance, shedding light on the complexities and challenges that can arise in relationships where gender roles and expectations play a significant role.