Part of me wants to see Azula and Noren/Ikem interact more and maybe have him be a part of her recovery in at least some small way. While, yes, Azula's relationship with her mother is incredibly important and Azula has a lot of pain associated with that relationship.
But her relationship with Ozai and her skewed perception of what a father is one of her more insidious wounds. Azula had a positive relationship with Ozai, but he still abused her and was very responsible for the damaged teen she has become. And, frankly, I can't see Ursa, or Iroh being trustworthy adults in her eyes.
And while she would likely percieve Noren as "one of Ursas agents", he is a very good father to Kiyi, and an "outsider" in the Royal family, mostly undamaged by the machinations that transpired between them.
I do also find the (most likely unintentional) parallel of Ursa (who, in her benefit, is being coerced/in an incredibly difficult situation) "choosing" Ozai over Noren and Zuko over Azula compelling. As well as them both having ties to the dragon emperor character, but that feels surface level.
Idk, I think there's potential for them to find some common ground, and for Azula to realise that dads aren't supposed to act like Ozai did, which would probably give her a new light on her family and Ursa's behaviour.
It's also not a far stretch to rationalise Ikem helping in the search for Azula, as he is quite the survivalist and Azula originally went missing in the Forgetful Valley, a place he was well acquainted with.
Idk, I think Azula needs someone who isn't Zuko, Ursa, Iroh, Ty Lee or Mai, people who have betrayed her in the past, reaching out to her and a step dad wouldn't be the worst candidate for that.
Maybe one day I'll write that fic but honestly I doubt my ability to write Azula well lmao.