As others have said, this doesn't truly fit into one genre or category, instead it's a delightful blend of so many things, the best I can do is describe it as speculative fiction. Written very much with a fairy tale feel, it also paralleled fantasy/historical romance, along with elements taken from both SFR and omegaverse.
There is a lot of humour in the story, Corrin had a very droll inner monologue and it lent a delightfully warm air to the tale. I could hear her Nanny uttering those pearls of wisdom, whilst nodding sagely and clucking like a mother hen. These were by parts both incredibly heartwarming and yet also poignant, touching and yet funny. Though the constant reminding that the only luck Corrin had was bad luck did, at times, make it hard to like her relatives. It was definitely a self-fulfilling prophecy!
Descriptions of the main characters are developed gradually over the course of the story and it is apparent, from a sentence quite late in the book, that it was a deliberate ploy. One designed to slowly open our eyes to Urku-ri, his brethren and their world, just as Corrin's eyes were opened to the possibilities his "ownership" offered. In fact she underwent significant character growth, though I loved that she never lost her spark, the fire in her belly nor her stubborn streak.
Having spent all her life in a backwater village, something akin to an Amish village, and despite supposed education about the wider world, Corrin was very sheltered and naive. She had never experienced what the cities offered, only understanding technology as vague theoretical concepts. The world building was both fleshed out and bare bones, however this is entirely because we view everything through Corrin's eyes, and she doesn't HAVE the answers, doesn't know the information to share with us. The author knew well when to paint in that detail and when to hold back, reflecting Corrin's ignorance of the wider world.
Finally, hats off to the author for how she took a potentially ugly beast of a male and, through the eyes of Corrin, made him attractive. Even as I read her description and built a mental picture that should have repelled I instead found that the emotions and thoughts of Corrin gave me a massively positive impression of Urku-ri. And my word does she treat us to some scorching hot and erotic consensual sex scenes.
Finding Her Luck is a wonderful and unusual story, well written and entertaining.