The Imprisoned Lady's Carefree Isekai Life
Yuuhei Reijou no Kimamana Isekai Seikatsu

Adriana is reincarnated as the villainess in an otome game and expects trouble after her engagement to the crown prince is annulled. When she is falsely accused and sent to a remote frontier, she is ready for the outcome and makes the most of her new circumstances. Living comfortably in a detached palace, Adriana uses memories from her previous life and her quick wit to reform the land and address local problems. The people come to trust and love her, but the crown prince soon finds himself politically cornered and pursues her, now intending to make her his concubine.