It could be a rogue ninja who was once a part of a secret organization. This ninja has a kekkei genkai that is the opposite of Sakura's and wants to destroy her to prove the superiority of his own power. He constantly hunts Sakura down and tries to ambush her during her missions.
Maybe her kekkei genkai gives her the ability to control time on a small scale. She uses this power to anticipate her opponents' moves in battles. In a fight against a powerful enemy, she freezes time briefly to analyze the situation and come up with a perfect strategy, which ultimately leads to her victory and earns her great respect among the shinobi community.
Well, it could be something like a fire - based kekkei genkai that allows Naruto to control blue - flame fire which is hotter than normal fire. This would give him an edge in battles and also a new look to his fighting style.
Perhaps her kekkei genkai is related to some form of elemental control that no one in Konoha has seen before. This could lead to a plot where other villages become interested in her power, either wanting to steal it or recruit her. Sakura then has to deal with the political and dangerous implications of having such a unique kekkei genkai while also trying to protect her village and friends.
I'm not sure of a specific fanfiction titled exactly like that off the top of my head. But you could try searching on fanfiction websites like FanFiction.net or Archive of Our Own. Just type in 'Sakura has a kekkei genkai' in their search bars and you might find some interesting stories.
In a fanfiction, Sakura's Kekkei Genkai could be related to some sort of mind - control or illusion ability. Since she's already intelligent, this power could enhance her skills in interrogation and strategic planning. She could use it to outwit enemies during battles, creating illusions that seem so real that opponents are left confused and vulnerable.
In Akatsuki fanfiction, Sakura Haruno might be given a unique Kekkei Genkai. It could be something related to enhanced strength or perhaps a special type of medical ninjutsu on a whole new level. For example, her Kekkei Genkai could allow her to heal not just physical wounds but also mental traumas instantaneously, which would be a very interesting addition to her character in the context of Akatsuki fanfiction.
Another type of sakura kekkei genkai fanfiction could be a story where the power is hereditary but has been lost for generations. A young protagonist finds an ancient scroll that reveals the secrets of their family's sakura kekkei genkai. They then have to train hard to unlock this power within themselves and use it to protect their family from an old enemy that is resurfacing.
Well, in some fanfictions, Naruto might obtain all kekkei genkai through some sort of ancient and powerful jutsu. Maybe he discovers a hidden scroll or meets a mysterious sage who imparts this power to him.
She could have a Kekkei Genkai that gives her the ability to manipulate gravity. This would be really cool as she could make objects float or even increase the gravitational pull on her enemies. It would also add a new dimension to her fighting style.