Koukyuu no Zatsuyouki

Shaoran (Xiaolian) is an orphaned girl who lives alone in the mountains at the very nook of an impoverished village. One day, an envoy from the palace arrives and scouts her to to be a lady-in-waiting for the imperial harem. This was how a wild girl raised on the mountains was able to live in a luxurious palace working as a lady-in-waiting, however...

On her first day (due to various reasons), Shaoran had suddenly become a criminal after slapping one of the consorts.

Though execution appeared certain, she was specially pardoned and demoted from a lady-in-waiting to a maidservant in charge of odd jobs. She is ridiculed by the other consorts as the, "Princess of Odd Jobs," however, this is where her rapid advance begins. She implements reforms to the worn-down palace and optimizes her chores through the knowledge she learned from her life of living in poverty, earning the gaze of the other ladies-in-waiting and the imperial consorts alike. Continuing these course of events, Shaoran's name spreads through the imperial palace, reaching even the emperor's ears...

(Source: Shousetsuka ni Narou, translated)