The Tyrant's Etiquette Tutor Is an isekai novel focusing on the emperor to-be and the daughter of a nobleman who is to be his etiquette tutor - and future wife through arranged marriage. 

The MFC having awaken in the world from the book she was reading, recalls

being stronger in her past life. This leads to moments where she  accidentally injures herself now that’s she’s in a physically weaker body. I love the misunderstanding’s that arise from this as long-term they don’t cause much trouble abut are great at forcing Lucia and Croft closer together to bridge these misunderstandings.

In terms of the premise, it’s not the most unique set-up with Emperor Croft being the antagonist - the tyrant - in the original novel. However, Livia’s involvement and determination to

not die at Croft’s hands like the original nobleman’s daughter

inspires the unexpected romance between Livia and Croft. Despite Livia’s numerous attempts to seem unappealing to Croft as a marriage candidate,

Croft fall in love  with Livia - despite claiming love doesn’t exist.

It’s definitely a  classic transmigration set-up, with a redemption arc and romance. I love Isekai novels and enjoy plots that focus on the redemption of the “villainess” or another character that usually suffered in the original novel. Their survival is usually caused by their perceived change in personality (which is usually positively received) that ends up endearing them to characters of the world.

 That seems to be  the case here for Emperor Croft and Lady Livia.