The story might focus on Winter's adventures outside of Hogwarts. She could go on a quest to find a lost magical artifact that has a connection to her family's past. Along the way, she meets new friends and overcomes various obstacles. Since she's Harry Potter's daughter, she might have some special powers or abilities that help her in these situations.
She could be very brave, just like her father. Given her family's history, she might be fearless when facing challenges. For instance, if there's a dark wizard on the loose in the wizarding world, she would be the first to step up and try to stop them.
In a London - named Harry Potter fanfic, it could be set in an alternate London where the wizarding world is more integrated with the Muggle world. Harry could be part of a secret society in London that protects both worlds from a new dark magic threat. This would involve him teaming up with new characters, both wizard and Muggle, and using his skills and knowledge to keep the city safe.
The daughter herself is often a great character in these fanfics. She usually has a mix of Harry's courage and some new traits of her own. Her friends can also be really interesting characters, like the ones who might come from different magical backgrounds and bring diverse perspectives.
Harry would likely be a loving and doting father. He'd teach her everything he knows about magic, from basic spells to advanced defensive magic. However, he might also be a bit overprotective because of his own past traumas. He would have a close relationship with her, sharing stories of his adventures at Hogwarts and during the fight against Voldemort.
Probably not. It has such a strange and unappealing - sounding name that it's likely not going to be mainstream popular. Most popular Harry Potter fanfics tend to stick to more recognizable themes within the wizarding world.
A simple plot could be that Harry goes to London for a Quidditch tournament. While there, he gets lost in the city and stumbles upon a hidden wizarding library that contains ancient spells and prophecies. He then has to figure out how to get back to the tournament while also dealing with the knowledge he has gained from the library.
One interesting 'Harry Potter Daughter Fanfic' could be about his daughter going on a magical adventure in Hogwarts that Harry himself never had. For example, she might discover a hidden chamber full of ancient spells. Another could be a story where she has to deal with the pressure of being Harry Potter's daughter while also trying to make a name for herself in the wizarding world on her own terms.
The fanfic could start with the daughter of Merlin's staff being raised in a muggle family, unaware of her true identity. When she receives her Hogwarts letter, strange things start to happen. As she delves into the wizarding world, she begins to have visions related to Merlin's staff. She has to learn to control her powers, which are tied to the ancient magic of the staff. With the help of some wise professors and her newfound friends, she gradually uncovers the truth about her lineage and the great responsibility that comes with it.