Adel

Adel is a sorceress that is being introducted in the far end of the game and not much information is being revealed about her, only that she was the rules of Esthar and that Laguna, Kiros and Ward sended her back to space. Well, there has not been any interaction between Squall and Sorceres Adel, so I cannot believe they hate each other, but they do dislike each other,s ince they are both different.

And since Adel, did control Adel and hurted her in the fight, that Squall might recent Adel. I cannot speak much about it, I'm only confusing myself... No relationship, period!

Like with Adel, there hasn't been any interactions between Squall and Ultimecia, only it is stated that he does hate her for all the things she made happy. She first possessed his matron, almost killed himself, possessed Rinoa and wanting to compress time.

Ultimecia

Ultimecia just entered their world without any permision and because she wanted to destory or in worse matters starting a new sorceress war, Squall and everyone else hates her as bad as it can go.

Ultimecia does not care about the SeeD and would do anything in order to defeat them and it quite happend, because she did start the compressed time, only it stopped after Rinoa has found Squall and stopped it with her tears.

I don't have a lot to say about this relationship...