Responses
the only one i could find:
https://www.mangago.zone/read-manga/my_blind_date_is_a_womanizing_cop/
the cop is the man though
Woman cop but man is a criminal (plus he's hot)
Purple Hyacinth
You can read it for free on webtoon
Is there a romance(straight) with a cop and civilian?
Ps: I prefer the girl to be the cop.