Arranged marriage where BOTH leads initially like someone else

Like the title, but with the emphasis on BOTH :) 

Mr. Queen - The FL is a noblewoman in Joseon who saved the ML when she was little. The ML becomes emperor and the FL's father is his enemy. The ML is in a romantic relationship with the SFL, who pretended to be the person who saved the ML, but becomes engaged to the FL. Before they get married, the FL is possessed by the soul of a playboy chef from the 21st century who finds the SFL very attractive. So at the time of their arranged marriage, both the ML and the FL (possessed) like the SFL.