I'm a Daughter that's Timid to the MAX, but I Still Agreed to a Bet with my Tactful Fiancée

I'm a Daughter that's Timid to the MAX, but I still Agreed to a Bet With my Tactful Fiancée is Reincarnation isekai manga.

A geology university student in Japan ends up murdered by pure bad luck due to walking into a convenience store that's being robbed at knife point. If that wasn't bad enough, just prior she learned her supposed boyfriend was only using her; plagiarizing her geology studies for himself and his real girlfriend.

She awakens in the Otome Game Caroline and the Rainbow Magic Sweets that she played in her past life, as Pia Rockwell; the unseen and unnamed fiancee of one of the capture targets, Rufus Stan. Disguising her past life memory as a prophetic dream, Pia gets Rufus to agree to a contract to help set her up as a geologist and look at for the heroine in the future; though his clause is that she would wed him immediately upon Caroline failing to seduce him.

Trivia

 * Pia's murder in Japan is little ridiculous. Since the mugger suddenly demands a confused woman to hand over her money; proceeding to fatally stab her when the poor woman is too stunned to move.
 * Pia never expected or planned for the marriage with Rufus to go through; expecting to have him break the engagement at minimum.
 * In a very humorous moment, Pia completely ruins the romance between her and Rufus when he says he wants her "most precious thing"; she hands over a shark tooth fossil, having missed Rufus was implying sex.
 * Rufus is doting and caring of Pia, whom he genuinely fell in love with after seeing she wanted his love and not the benefits of his title.
 * Gives her access to his family territory to dig for fossils.
 * Makes a contract to reimburse her financially if Caroline wins him over.
 * Ensures Pia eats and sleeps well, due to her stress taking a toll on her health.
 * Helps her become a professor at the school due to her fossil knowledge
 * Keeps Pia out the noble society parties, due to her anxiety.
 * Is suspicious of Caroline thanks to Pia warning him.
 * He refused to eat the cookies
 * Pia grew up practically anorexic due to the intense fear she had of losing Rufus's love and Caroline painting her as an evil person. So Rufus had to ensure Pia ate and slept regularly, while keeping her out of the stressful noble society.
 * Everyone biologically from the Rockwell family is noted by Rufus to not care about status or wealth and instead focus solely on odd hobbies or professions.
 * Mr. Rockwell makes pesticides affordable for commoners.
 * Pia's brother is studying sound and the various frequencies that can be heard by species.
 * Pia herself is obsessed with fossils.
 * Due to her geology mapping skills, Pia accidentally made herself a target for enemies; due to them mistakenly believing that the Stan family had hired a strategist.
 * Rufus mentioned that this issue would die down once birds eye maps were made commonplace.
 * Rufus tested Caroline's rainbow cookies on lab rats after she gave him a batch; finding out they have an addiction effect on the eater the more prolonged the ingestion. This causes humans to confuse the addiction with affection for the one who made the sweets.
 * Caroline is a reincarnation as well and attempting to live vicariously through the game moments. However, things are off when she appears.
 * She is acknowledged as an illegitimate child a year earlier than on the otome game by her father. Possibly the time her memories came back.
 * She gives the sweets to capture target Henry Cox, whom was already in a loving relationship with Pia's best friend Erin White; causing Henry to become delusional about Erin, and making the poor girl retreat to her family home to deal with her pain.
 * Caroline is taken aback when Rufus tells her that he loves his fiancee dearly and keeps her out of the public eye; contrasting the strained arranged marriage she knows from the game.
 * Caroline further digs her grave by mentioning Rufus helping his father after the latter was recovering from poison; something that was not public knowledge.
 * Caroline appears to be genuinely after the prince, as the opening scene has him annul his engagement and later attend the opera with Caroline when she joins the story.
 * Pia ends up earning a PhD for her fossil knowledge; getting to be a professor before even starting high school. Rufus mentioned that serves as a measure of protection against Caroline attempting to get her banished; since a professor is highly respected and valued.
 * At minimum, Pia has to take political science and business administration; so she can be ready to help Rufus manage the Stan household.
 * It doesn't mean she can't open a museum for fossils like she planned.