The fanfiction would probably have to make some big changes to the traditional concepts. Since Artemis is a virgin goddess, it would be a huge departure. One way it could handle it is by making Artemis more human - like in terms of her emotions. Maybe Percy's own heroic nature and his ability to see beyond the surface make Artemis question her long - held beliefs. Their relationship could start as a mutual respect for each other's powers and then develop into something deeper. As for the child, the fanfiction might give the child some unique abilities that combine Percy's connection to the sea and Artemis' connection to the moon and the hunt.
In this kind of fanfiction, the relationship between Percy and Artemis is often a very creative take. Given their different natures, the story might start with an unexpected encounter. For instance, Percy could be on a quest that intersects with Artemis' territory or mission. Their initial interactions might be full of tension because of their different outlooks. But as the story progresses, they start to understand each other more. Regarding the child, it could be a symbol of a new era in the fanfiction world. The child might have the ability to bridge the gap between the sea - related powers Percy has and the lunar and hunting powers associated with Artemis, bringing a new balance to the world of the fanfiction.
Well, in most cases, the fanfiction might first have to deal with the fact that Artemis is a virgin goddess in the original mythology. So it could create some sort of special circumstance that allows for this relationship to happen. Maybe there's a powerful magic or a prophecy involved. For example, a prophecy that says only their union can save the world from a great evil. Then, their relationship would be built on this shared purpose while also exploring their individual personalities. Percy is known for his courage and loyalty, and Artemis for her independence and power. The story could show how they learn from each other and grow together as they face challenges related to their relationship and the impending doom the prophecy foretells.