(Average+) Why Raeliana Ended Up at the Duke's Mansion

Series in one sentence:
My Next Life as a Background Character: All Routes Lead to Doom!

Series in more sentences:
A girl is murdered and wakes up inside the body of a fictional character from a book she's read, destined to die at the hands of her fiance. Wanting to evade her fate, she blackmails the powerful and prestige male lead into acting as her new fiance, but their relationship grows more sincere over time.

With Raeliana now taking the place of the true female lead, Beatrice, it changes many things about the original story, and Beatrice herself is nowhere to be seen.

Started off alright, but I don't recall any of the episodes leaving me particularly satisfied to have seen it. There is this tame atmosphere going on, hard to explain. Perhaps calling the script and events "subdued" is the right description.

My main issue with the show is that there wasn't really an issue. Raeliana wants to get out of a marriage, because she knows this guy will try to kill her, but there are a million ways to resolve that. Raeliana takes the most dangerous route of blackmailing a powerful person with sensitive information, putting her at risk of getting killed by this duke. Which, quite honestly, should've happened right as she dared to open her mouth.
Go ahead and try to threaten royalty inside their own office, I can assure you your ass will be "going on a trip of self-discovery in Africa". Your clueless family will never see you again. What was she thinking?
And her plan will also end up embarrassing both her and duke Noah; because it requires them to publicly announce their union, then suddenly break up a few months later, basically turning the both of them into "damaged goods". I imagine that matters for people of their standing. What excuse were they planning on giving to the public?

I felt nothing for the romantic scenes. Noah could be rather rude to her outside of these moments, so you're not rooting for them, and Raeliana wouldn't stop inner monologuing about how fake their relationship is, whilst chewing him out whenever he actually tried to act the part of her fiance.

Beatrice makes an extremely late appearance, and I'm not sure what they're planning on doing with her, but I'm also unsure if I care for it. I think the anime would've been better if Raeliana had to deal with her since day one, because absolutely nothing's standing in her way of, well, anything.