Aisarenai Akuyaku Reijou ni Tensei Shita node Hirakinaotte Yaku ni Tesshitara, Naze da ka Dekiai ga Hajimarimashita.

After rescuing a black cat, she is reincarnated as Alice, the villainous young lady from a novel she read in her previous life. Her husband treats her coldly, and if things continue as they are, she is destined to commit suicide. "I'll use him to survive!" ...thinking that, she plays the villain, but then he asks her, "Would you like to enter into a contract marriage with me and become my figurehead wife?" And what's more, he dotes on her—!? A one-year contract marriage to be loved by a cool, handsome duke! (Source: Kodansha, translated)