Here's a breakdown:
* Instances of Attraction: There have been several instances in comics, particularly in the "Justice League" series, where both heroes show signs of attraction towards each other. They often share moments of playful banter and admiration for each other's skills.
* Obstacles to Romance: There are significant obstacles to a romantic relationship between them:
* Different Moral Codes: Batman's dark and brooding nature clashes with Wonder Woman's optimistic idealism and belief in justice.
* Personal Priorities: Their commitment to their respective roles as heroes often takes precedence over any potential romantic feelings.
* Batman's Past: Batman's tragic past and his emotional detachment make him hesitant to form close relationships, especially romantic ones.
* Alternate Universes: In some alternate realities and "Elseworlds" stories, Batman and Wonder Woman have been depicted as a couple. However, these are not considered canon within the main DC Universe.
Overall: While the possibility of a Batman and Wonder Woman romance remains an intriguing idea, it hasn't been fully explored in the main DC Universe. The potential for a relationship exists, but their contrasting personalities and priorities make it a complex and unlikely scenario.