Actual delinquent, not just mistaken to be one because of appearance or something. As for the guy any type will do as long as he's NOT another delinquent/gangster too. For example Why Do You Love Me?, The Kidnapping of Minja Jo's Boyfriend or Tohru's parents' relationship in Fruits Basket. Please no harem, reverse harem or BL/GL. Other genres beside those are cool. That's all, thank you in advance 🙂

DONDAKEE!!

Onidere

hot blooded woman

"You cannot understand that which you do not know and that misunderstanding breeds hatred."
-a night of a thousand dreams

Seishun Otome Banchou! - not quite delinquent, but fairly close

Additionally, you can check titles with the Sukeban tag, it's the female equivalent of Banchou. See:
https://www.mangaupdates.com/series.html?category=Sukeban
https://en.wikipedia.org/wiki/Sukeban