Her bond with Susato was very important! She spent the whole DGC1-5 talking of herself as a liar, and rejecting Ryuunosuke as her attorney because she couldn’t understand how someone could trust someone like her. And you know what was the only thing that made her change her mind? Susato.
Gina came out a bit from her shell, started to learn how to trust others, accepted Ryuu as her attorney & could be found not guilty of a murder thanks to that. It all was posible because before her departure, Susato went out of her way to visit Gina and told her that there were people she could trust, that she isn't the bad person she thinks of herself, and that she didn’t wanted to depart from London with the memory of Gina and Iris being sad; her words were the only thing that made Gina change her opinion. She did not trusted anyone prior 1-5 (and even on it, she has a hard time trusting anyone) and the second Susato tells her to trust her, she does it (also Gina looked so upset when she learnt that susato was leaving London!!).
And Iris!!
Her relationship with her shows how much she cares about others even if she tries to hide it. She unknowingly stole one of Iris’ guns, which lead to Iris trying to approach her when she found her outside to get it back & forcing her come over her house to dine and to make her apologise for stealing her gun.
On 1-5 instead, Gina actually showing up on her own free will at Iris’s home for dinner when Iris invited her. Here, apart from a very cute scene where she taught the rest of the 221b family how to pickpocket; she had the first “normal” talk with Iris; in which she learned about her father and manuscript.
Just hearing about that once was enough to Gina for sneaking out of their house at midnight to go to the paw shop (where then she almost lost her life) and threatened the owner with a gun to open the basement to check if Sherlock really saved the manuscript here. All because she was so angry that after Iris’ biological father abandoned her, her adoptive one could be lying to her; she needed to make sure the person taking care of iris was good and she risked her life for that.
They just made Gregson the reason of her being & called it a day. It makes sense (specially considering she probably has AVPD) that she is very fixated onto him, but the whole "i will continue being a detective because he died"? That's worng, she became an inspector for Iris’ and the orphan children sake! Gregson came later! He didn't even give her the job or Toby.
She was included on the ending scene of DGS 2 (something i'm very glad of) where they are all dining, but they treated her promise to Iris as a joke and forgot about everything. Her relationship with Iris? A joke. Her resolve? A joke. They did her so badly
She could join/work like Sherlock!! That way, she would do the same work as in Scotland Yard, get money, investigate & all without the unnecessary drama they gave her in DGS2 & without being connected with the police!!
Also the 221b family eere the 1st people Gina started to open up a bit to! So who is better to guide her in her new life than the dad of the family (who she also made sure was trustworthy back in DGS1) who cares about her a lot??
I mean, in DGS2 he was the one who made the arrangements so Gina could work in Scotland. Also if she worked as a independent detective, Iris could join her a lot with no problem!! Sister bonding!!