In Japan, a sudden emergence of gateways to an alternate realm, known as "Mato," reveals a novel entity named "Peaches." This resource possesses unique powers only women can harness, making it highly sought after. However, the Mato also contains dangerous monsters called "Yomotsu Shuuki," which have caused numerous disasters. To combat this, the government establishes the Anti-demon Corps, a group of powerful women who have ingested Peaches.