Hinamatsuri (2018, Feel)

Nitta Yoshifumi is a wealthy Yakuza member. One day, a young blue-haired girl with telekinesis powers called "Hina" appears in his apartment out of nowhere in a metallic cocoon. Worried he'd be killed he lets her stay with him. Before long, he learns she must unleash her powers frequently or she will overload and go outofcontrol...