Well, his relationship with Vegeta would be interesting. If Goku went back in time and showed Vegeta the SSJ God form too early, Vegeta might become more competitive or even jealous earlier. He might push himself even harder to catch up, which could lead to more intense rivalries and also more joint training sessions between them.
In the fanfic, perhaps Goku's transformation into a girl is the result of a magical spell. As a girl, she might start to see the world from a different perspective. She could be more in touch with her emotions and this could either enhance or hinder her fighting abilities. For instance, she might be more empathetic towards her enemies, which could lead to some interesting moral dilemmas during fights. Her training regime might also change as she adapts to her new body.
Well, one possible plot could be that Goku, as a girl, has to face different challenges in the martial arts world. Maybe the other fighters underestimate her at first, but she quickly proves them wrong with her incredible strength and skills. She might also have to deal with new emotions and how others perceive her femininity in the context of being a powerful fighter.
One possible plot could be that Goku Black starts to have doubts about his evil actions after experiencing some self - reflection. Maybe he witnesses an act of great kindness that makes him question his motives.
Vegeta could be a great rival. He might see Goku's new position as God of Destruction as another thing Goku has achieved that he hasn't. This could fuel their competitive nature even more.
One idea could be Goku traveling back in time to train with his past self. He could teach his younger self how to achieve the SSJ God form more quickly, which would change the power dynamics in his original timeline battles. For example, against Frieza, if he had the SSJ God power earlier, the fight would be much shorter and less arduous.
Goku does reach a state of immense power in the manga that rivals that of a God of Destruction. However, the specific title and all its implications might not be straightforwardly assigned to him. It's a complex development within the story.
The character development could be interesting. Goku, now a girl, would have to adapt to different social expectations. She might become more empathetic as she experiences some of the things that female characters in the Dragon Ball universe face. For example, she could be more in tune with the emotional needs of her friends and family.