Well, a plot could involve Hermione being shunned by some in the wizarding world for her Aphrodite heritage as they fear the unknown power she might possess. But then she meets a group of outcasts who accept her and together they form a sort of resistance against the prejudice. Or, perhaps she has to go on a quest to find a lost artifact that is related to Aphrodite and her journey takes her to places in the wizarding world that no one has ever explored before. She could also have the ability to make potions that have love - related effects due to her heritage, and she uses this to heal broken relationships in Hogwarts.
One plot idea could be Hermione using her Aphrodite - given charm and beauty to her advantage in the wizarding world. For example, she might use it to charm some of the more stubborn magical creatures into helping her with a task. Another could be a love triangle where her Aphrodite heritage makes her irresistible, but she has to choose between her wizarding friends and a newfound love who is drawn to her because of her divine allure. A third idea is that she discovers her heritage during a time of great danger in the wizarding world and has to learn to control her new - found powers quickly to save everyone.
A possible plot is that Hermione discovers some long - lost secrets about her father, Sirius. This could lead her on a quest to uncover the truth about his past and his family. Along the way, she might find out about some hidden magical artifacts or spells that were associated with Sirius's family line. It could also involve her interacting with Sirius's old friends and enemies, which would create a lot of interesting dynamics. For instance, she might have to deal with some who are still bitter about Sirius or others who want to protect his legacy through her.
One plot idea could be Hermione discovering her true parentage through a series of magical events. Maybe she stumbles upon an old family heirloom that has a connection to Sirius. Another could be her having to deal with the reactions of her friends, like Harry and Ron, who are shocked by this revelation. She might also face challenges within the wizarding community as Sirius had a somewhat controversial past.
One plot idea could be Hermione's struggle to fit in among the other demigods. Since she's the daughter of Zeus, she might have immense power that she has to learn to control. Another could be her going on a quest to retrieve a powerful artifact that only she, as a daughter of Zeus, can handle. Maybe she has to face off against an ancient enemy of Zeus that has been awakened.
A possible plot is that she has a special gift for potion - making, like Snape, but also a love for books and knowledge like Hermione. This leads her to create new potions based on old, forgotten spells she discovers in the library. However, there are those who are jealous of her abilities and try to stop her progress.
A plot could involve the daughter using her unique position to bring about peace. Since she has a connection to both the 'good' side through Hermione and the 'dark' side via Bellatrix, she could be the key to bridging the gap between the two warring factions. For example, she might use her knowledge of both sides' secrets to negotiate a truce.
One idea could be the daughter's struggle to break free from the dark reputation of the Lestrange name while also dealing with her mother Hermione's fame as a hero. She might face discrimination in the wizarding world due to her family name, but strive to prove herself through her own magical abilities and kind heart.
One idea could be that the daughter inherits Hermione's intelligence and Sirius's rebellious spirit. She might use her smarts to uncover secrets about the wizarding world that were long buried, like hidden spells or lost histories. Another plot could involve her struggling to fit in at Hogwarts, being the daughter of two such well - known figures. She could face both envy and admiration from her peers.
Another plot could involve the daughter discovering a long - hidden secret about her parents' relationship. Maybe there was a prophecy that led to their union, and she has to figure out how to deal with the implications of this discovery. She could be hunted by dark forces who want to use her for their own gain because of her unique heritage.
One idea could be that the daughter of Aphrodite has the power to make people see their true love, but it backfires when she accidentally makes Percy see his worst enemy as his true love. It creates a lot of chaos and comical situations as Percy tries to figure out what's going on.
A possible plot could be that Aphrodite's son Cupid accidentally shoots Harry with a love arrow meant for someone else. As a result, Harry falls in love with a character from Greek mythology who then helps him on his quest against Voldemort, bringing in elements of both the wizarding world and Greek mythology.