Rimi is one of the main characters in ChaoS;HEAd and is the main female character.
Her first appearance in the anime is at the end of the first episode where she is standing infront of a dismembered corpse holding a stake. Here she recognizes Taku, even though he himself doesn't recognize her. The next day at school she is seated next to Taku where he remembers her name, although Taku is convinced Rimi is there to kill him.
Over the next few days and weeks, Rimi becomes good friends with Taku, with Taku relying heavily on her. However soon after, it is discovered she is a Giglomaniac, and this causes Taku to try and discover the truth, which in turn leads to him discovering the truth about Rimi.
When Rimi was absent from school, it was found she was visiting Shogun (the real Taku) and discussing what she should do. Before Taku finds out he is a delusion, she attempts to protect him from the truth, and after he does, she goes to try and save his sister Nanami (who had been captured beforehand). However during the rescue attempt she is captured herself where Taku eventually comes to save her.
After the final battle between the Giglomaniacs and Noah II, Rimi kisses Taku before she prepares to kill him, however after interating his desire to live she spares him. The show ends with Rimi and Taku confessing their love for each other, and with the rest of the Giglomaniacs, repairing the city from the previous battle.