One way to develop Blizzard's character is to explore her backstory more deeply. Maybe she had a difficult childhood that led to her desire for power and control. In fanfiction, we could see flashbacks of her growing up and how those experiences shaped her into the person she is. This would add more layers to her character.
In a One Punch Man Blizzard fanfiction, a great plot could be that Blizzard is challenged by a rival group who claim to be stronger. Saitama, in his boredom, decides to help Blizzard prove them wrong. He does this in the most nonchalant way possible, like just one - punching all the opponents while eating an ice - cream. This makes Blizzard both frustrated and in awe of him. Another idea is that Blizzard discovers a hidden power within herself after being inspired by Saitama's confidence in his own strength.
I'm quite sure there exists a 'Naruto is One Punch Man' fanfic. The world of fanfiction is vast and full of all kinds of creative crossovers. Writers might be intrigued by the idea of bringing Naruto's ninja skills and the unique world of One Punch Man together. For example, how would Naruto react to the overpowered villains in One Punch Man's world? And how would Saitama view Naruto's determination to protect his village? These are the kind of things that could be explored in such a fanfic.
One Punch Man is about a guy named Saitama who can defeat any enemy with just one punch. But despite his amazing power, he struggles with the boredom of having no real challenge.