Sute Akuyaku Reijou wa Kaibutsu ni Otogibanashi wo Kataru

The duke's daughter, Sylph Biebel, was recently banished and her engagement to the prince was called off due to a nefarious scheme by a friend. She is not simply sent someplace, though. She is banished to a land that is home to a notorious monster. As she embarks on a new life as a librarian in a distant land, will her sharp wit win this king over?