Read The Princess' Spaceship Manga:
The first lieutenant of the Space Alliance Defence Force, Suna Kim, travels dimensionally to a fantasy world called Rofan! An extreme survival story plays out after she dies and reincarnates as the daughter of Duke Langtry, who was cursed and killed. The frugal lady travels in search of her spaceship, which crash landed in the unfamiliar and barren fantasy world. A lively and brutal romance in court!