"This Vampire Won't Give Up!" centers on the life of a young vampire named Lilia, who struggles to adapt to modern human society after centuries of isolation. Lilia, once a feared and powerful vampire, now finds herself in a world where her kind is no longer dominant. Determined to survive, she takes on a human identity and enrolls in a high school, hoping to blend in and learn the ways of the contemporary world. However, her lack of understanding of modern technology, social norms, and human behavior often leads to comedic and awkward situations.

The story explores Lilia’s interactions with her classmates, particularly a human boy named Haruto, who becomes her primary connection to the human world. Haruto, initially skeptical of Lilia’s claims of being a vampire, gradually becomes her confidant and helper, aiding her in navigating the complexities of human life. Their relationship evolves from mutual skepticism to a genuine bond, with Haruto often acting as a mediator between Lilia and the human world.

As the narrative progresses, Lilia’s vampiric nature occasionally resurfaces, creating tension and conflict. Her struggles to suppress her instincts and maintain her human facade are a recurring theme, highlighting the challenges of balancing her dual identity. The series also introduces other supernatural elements, including rival vampires and hunters, who add layers of intrigue and danger to the plot.

The manga balances humor, romance, and supernatural drama, with Lilia’s fish-out-of-water experiences providing much of the comedic relief. Her determination to adapt and her growing affection for Haruto drive the emotional core of the story, while the occasional action sequences and supernatural threats keep the plot dynamic. The series ultimately portrays Lilia’s journey of self-discovery and her efforts to find a place in a world that has moved on without her kind.