Quote from Winterashes1
For example she see's the guy she likes making out with another girl and just smiles, or walks off.
Quote from senile_seinen
Uh... I usually don't mind wrong recs, but if Yuno sees Yuki kiss another girl, she'd kill both. She almost killed for Yuki smiling at another girl.
I think you misunderstood something because all your suggestions are wrong. He's not definitely asking for a tsundere or a yandere, more a kuudere maybe, but I think only some of them will fit.
Anyway my 2 cents on the matter:
Nozoki Ana (Emiru)
Highschool DxD (Rias)
What I like in Trivial Pursuit style. Pick your category: