A disposition in favor of something is known as:

The term that best describes a disposition in favor of something is "predilection." This word signifies a preference or a bias towards a particular thing, indicating a favorable inclination. When someone has a predilection for something, it suggests they have a natural liking or tendency to favor that option over others.

In various contexts, having a predilection can influence decisions, opinions, or choices, clearly showing the connection to having a disposition in favor of something. Understanding this term can help in recognizing nuances in discussions of preference, choices, or affinities in both personal and professional scenarios.