After Saving the Villainous Big Shot, the Host Gets Swept Off Their Feet

[Transmigrate + sweet romance + feel-good fantasy + unhinged characters + former dynasty] Su Nian Ge gets bound to a System called Pigeon, and her mission is to save the villainous powerhouses in various worlds. This exceptionally challenging mission sounds doable. She hooks an arm around the unhinged villain's neck and gracefully plants a kiss on him. The unhinged villain, early on: "How dare you overstep your bounds? Take Su Nian Ge away and feed her to the dogs." The unhinged villain, later on: "You will always belong to me alone." The eccentric male supporting character: "I owed you in my last life. I've come to repay my debt." The eccentric female supporting character: "You can only be mine." Su Nian Ge: "Please, can someone tell me what kind of battle royale this mission is?" (This story has only one male lead.)