Is this The Meaning of You...?
Dayeon is… tired. She’s so tired that she’s been transported to a new world and she’s still too tired to do anything. But most of all, she’s tired of Emperor Mikhail’s near-constant attention! He’s just so perfect… always concerned about her well-being and shielding her from the church’s attempts to label her some kind of saint. And he keeps finding reasons to brush her hair behind her ear or stare dreamily into her eyes. How’s a girl supposed to sleep through all this endearingly loving attention?!
In her previous life, the female lead, Dayeon Lee, was a Korean office worker with dark hair who'd fallen into a state of depression. She then woke up in a forest in another world, where she was greeted by knights and taken to see the emperor of the Altius Empire, Mikhail Dnar Altius.

The people in this world believe she's a goddess based on a divine revelation, however, she has no powers and the education she received in Korea isn't useful here (especially not for someone with the high expectations placed upon her). Despite this, the emperor provides her with a palace to stay in and servants to tend to her needs, but she continues to be depressed and becomes extremely lethargic, not wanting to get out of bed, bathe, or even eat properly.

When the emperor learns of this, he takes a more active role in her life, ensuring that she's bathed properly, bringing in chefs to prepare more appealing meals for her, assigning a young priest as her personal tutor, and regularly checking in on her to provide encouragement. Over time, he also develops romantic feelings for her.