Well, without reading the specific fanfic, it's hard to say exactly. But generally in Harry Potter fanfics, Lily could have all sorts of plans. It might be related to protecting Harry, or perhaps something to do with the wizarding world's future. Maybe she has a plan to deal with Voldemort in a different way than in the original story.
Perhaps Lily's plan in the fanfiction is related to uniting the wizarding community against dark forces. She could be planning to gather all the good witches and wizards, including those from different magical cultures, to form a powerful alliance. This would be a significant departure from the more individual - based protection in the original story.
Another possibility is that Lily's plan focuses on influencing the Hogwarts curriculum. She realizes that the students need to be better prepared for dark threats. So, she plans to introduce new courses or modify existing ones to teach more practical defensive magic and the study of dark magic in a more in - depth way, all with the aim of making the wizarding world safer for Harry and others.
Lily Luna Potter could play a key role in a fanfiction as a mediator. For example, in a situation where different wizarding factions are on the verge of war due to a misunderstanding, she uses her unique perspective, being part of the Potter family but also a new generation, to bring about peace and understanding.
In some fanfics, Lily's plan might involve time - travel. She could be planning to go back in time to change certain events that led to the chaos in the wizarding world. Also, she might plan to form alliances. She could be thinking of bringing together different wizarding families or groups that were not united in the original story, to fight against Voldemort more effectively. And she could also have a plan to influence the magical education system, to make sure that young wizards are better prepared to face the dark arts.
One possible fanfiction could be about Lily Potter's ghost guiding Harry in a more direct way than in the original books. Maybe she appears to him during his toughest times at Hogwarts, like when he's facing Voldemort in the Chamber of Secrets, and gives him some special advice or magic that only a mother could pass on.
A possible fanfiction could involve Lily Luna Potter and her time - traveling adventures. She accidentally stumbles upon a time - turning device and gets sent back to the time of the first Wizarding War. There, she has to be careful not to disrupt the timeline while also trying to learn from the events of that time to prevent a similar future catastrophe.
There are fanfictions that rewrite the story from Lily's point of view. In these, we get to see all the major events in the Harry Potter series through her eyes. It's really interesting as we can understand her thoughts and feelings during key moments like when she was facing Voldemort. This gives a fresh look at the familiar story.
One popular type of Lily Potter fanfiction might focus on her time at Hogwarts before she met James. It could explore her friendships, her studies, and how she dealt with the challenges of being a young witch in a magical school. For example, a story could show her in her Potions class, working hard to master difficult spells and potions, and forming a study group with her closest friends.
Yes, in some fanfictions, Harry Potter can be depicted as Lily's imaginary friend. Fanfiction often takes creative liberties and can come up with unique interpretations like this.