He could potentially perform non - verbal magic more easily. In the regular Harry Potter lore, non - verbal magic is quite advanced, but without a wand, Harry might have to rely on it more. He could use his emotions and willpower to directly influence the magical energy around him. For example, he might be able to move objects with his mind just by concentrating hard enough, like how he sometimes uses the Accio spell with his wand, but now it's more of a pure mental effort.
In some fanfiction concepts, Harry Potter might be able to perform magic without a wand through sheer willpower. His strong emotions and connection to magic could be enough to channel it directly, like when he was a baby and his mother's love protected him from Voldemort without any wand use.
Maybe the fanfiction focuses on Harry exploring new magical abilities that come with not using a wand. He could discover that he has a unique way of flying without a broomstick, or he can communicate with magical plants in a way that was previously thought impossible. These new abilities would add a whole new dimension to the story.
His relationship with the professors could be very different. Some professors like McGonagall might be intrigued and want to study this new form of magic. Others, like Snape, might be more suspicious and think Harry is up to some new form of mischief or dark magic. This would create a whole new dynamic in the Hogwarts environment.
She might use her sheer intelligence and knowledge of magic. Hermione is known for her studious nature. So, perhaps she discovers ancient incantations that can be cast without a wand, relying on precise pronunciation and intense concentration.
One challenge could be acceptance from the wizarding community. Since using a wand is the traditional way, others might be skeptical or even hostile towards her new way of doing magic.
In fanfiction, Harry with a different wand can lead to all sorts of interesting scenarios. Maybe the wand has different magical properties that he has to learn to control. For example, it could be more powerful in certain types of magic but less so in others. This would force Harry to adapt his magical techniques.
It could be Dumbledore. He always had a way of presenting Harry with things that would help him on his journey. Maybe Dumbledore had been holding onto this second wand for a special occasion or because he knew Harry would need it in the future.
Maybe an old, reclusive wand - maker who has been waiting for the right wizard to come along. This person could have a special intuition about wands and see something unique in Harry.
It could be a mysterious stranger. Maybe someone who has been observing Harry from afar and decides that he needs a different wand for some greater purpose. This stranger might have their own motives, perhaps related to a prophecy or a hidden plan within the wizarding world.