I’M Looking For A New Husband summary:

Riat, caught up in her husband's treason, faces death. After repeatedly returning to the past at the cost of half her lifespan, she finally breaks the cycle by offering her husband’s head to the emperor. With only 1 year and 3 months left to live, her one wish is— "I’m going to fall in love." At last, an announcement spreads across the entire empire: a competition to find Riat’s new husband, with a grand prize of 1 billion gold. Candidates begin to flood in, but suspicious figures also start gathering around her…