Q: Why is Shizuka Nakamura dressed like this?
A: Who cares? Especially since the movie also features Nonoka Ono in a sexy-cop outfit?
The plot, such as it is, of Sensitive Detective Jasmine, is that rookie detective Jasmine (Shizuka) has one of those convenient psychic powers that lets her pick up clues by touching objects, and along with rookie NYPD detective Youko (Nonoka), tracks down a murderer. Bathing and sexy cosplay are apparently their primary weapons. And the machine translation of the plot summary at Rakuten is hilarious.