Dumped by My Trash Family, Turns Out I’m the OP Mage Who Saved the Kingdom While My “Genius” Sister Was Just Useless

Summary

Abused by her family, Noel was almost killed by her older sister, which led to the development of her magical talent and the ability to cast barriers, which saved her from death. To escape her abusive family, she applies for a scholarship to live in a dormitory at a national school, but the skill she demonstrates on the entrance exam, 'putting protectors on eggs', will change her destiny...