I'm not sure of a specific one that is named exactly for this. But generally, in many 'Harry Potter Daughter' fanfictions, her magical abilities are a key part. For example, in some stories, she might inherit unique powers from Harry and have to learn to control them. The 'lemon' aspect could potentially be tied to how her magical growth affects her relationships, like a love interest being drawn to her because of her newfound abilities.
Well, Harry Potter is mainly known for his proficiency in spells like Expelliarmus and his ability to face Voldemort directly. The fem Harry Potter as the daughter of Persephone would have very different abilities. She might have the power to control plants, so she could make vines grow and entangle enemies, which is quite different from Harry's more combat - oriented spells. Also, she could have an affinity for the underworld, perhaps being able to communicate with the spirits of the dead or even traverse the boundaries between the living and the dead world, something Harry has no such ability to do.
There's a fanfiction called 'Sisters' Secrets'. It really digs into the relationships between the Black Sisters. The lemon parts are tastefully done and add a new dimension to their complex sisterly bond. It shows how their different personalities and loyalties within the Black family play out in their relationships with each other.
A great fanfiction in this regard is 'Andromeda's Family Legacy'. It tells the story of Andromeda from the perspective of her family's expectations. It shows how she was pressured to conform to the family's ways, but instead chose her own path. It also includes flashbacks to her family's past and how that shaped her view of family and ultimately led to her break from the traditional Black family values.
There's a fanfiction where Rita Skeeter tries to befriend Hermione. She realizes Hermione's intelligence and potential influence, and she wants to use that for her own gain. But as they interact more, Rita starts to develop a grudging respect for Hermione. It's an interesting take on their relationship and how two very different characters can find common ground.
One popular fanfic that touches on loneliness is 'The Solitary Gryffindor'. It focuses on a character who feels alone in the Gryffindor house despite being surrounded by people. Another is 'Luna's Lonely Path' which delves into Luna Lovegood's experiences of isolation. There's also 'Harry's Hidden Loneliness' which explores the parts of Harry's life where he feels truly alone, even when he has friends around him.
I'm not sure about specific 'Harry Potter and Daughter Lemon' fanfictions. However, you can try searching on fanfiction websites like Archive of Our Own or FanFiction.net. Just be aware that some fanfictions might deviate significantly from the original Harry Potter lore.
Another way their magical abilities could differ is in the area of spell - casting. Harry is good at defensive spells, but his sister could be excellent at transfiguration. This would mean that in different situations, they would rely on each other's skills. For example, when they need to transform something to solve a problem, his sister would take the lead, and when they are under attack, Harry would be the one to defend them using his defensive magic.
There's a fanfiction where Harry's transformation into a Quicksilver - like character really changes his relationship with his friends. He becomes more aloof at first because of his new abilities, but as the story progresses, he learns to balance his speed - related powers with his emotions and his relationships. It's a great read for seeing how his character evolves in this unique crossover scenario.
One fanfiction I remember has to do with a student finding a hidden room in Hogwarts that was used by the founders for some dark experiments. As they start to uncover the secrets of this room, they attract the attention of not - so - friendly spirits and magical beings, which causes a great deal of trouble. It's a really exciting read as it delves deep into the possible hidden history of Hogwarts.
Her magical education would likely be different as she might have an innate understanding of dark creatures due to her connection to Cerberus. For example, in Defense Against the Dark Arts, she could already know a lot about hellhounds and other similar creatures without having to study much.