Much like the set up in the Rin Takanashi drama “Kekkon Aite wa Chusen De”, “Marry Me!” follows a similar storyline- The birthrate is in decline, and in an effort to control things, the government implements a new program where civil servants are paired up as marriage partners with NEETs in an effort to rehabilitate them.
He decides to make the best of things, but is stunned when he meets the girl, a shut-in recluse named Himari Sawamoto (Rinka Kumada) and finds she has ZERO interest in marrying him, shutting the door in his FACE!
Seems Himari’s grandmother had signed Himari up for the program without her knowledge. Granny knew her days were numbered and wanted to make sure Himari has a future. But this recluse wants nothing to do with marriage!
After the rejection, Shin thinks that’s that, but is severely reprimanded back at the office and is told to make a greater effort! 
Even his friend Yoshiura (Harumi Sato, last seen my me as the back-stabbing "best friend" in "Busu no Hitomi ni Koishiteru") worries for Shin's future prospects!
Shin goes back and after struggling to have an audience with her, finally has a formal sit down with the introverted Himari. She tells him that it was her Grandmother who signed her up and tells him in no uncertain terms that she doesn't want to participate in the program.
But when he beloved cat becomes ill, the hikikomori Himari is at wits end panicking in what to do. At that moment Shin drops by and, seeing the situation, guides her out into the public and gets them safely to a vet. 
The cat is saved, and for the first time Himari realized how frightening it is to be alone. With Akiyasu’s kindness on her mind, she decides to try out the trail marriage, and the two are off to a fine start!
Let's see where this drama goes!