She is the second daughter of the Howard family, one of the four grand dukes.

After failing the final exam for his dream job at the royal court, promising young sorcerer Allen wants nothing more than to retreat to a simple life in the countryside. Unfortunately for him, he can’t even afford the train fare! His only solution is to get a job, but his one lead is anything but modest—Duke Howard, one of the kingdom’s most powerful nobles, needs a private tutor for his daughter Tina. Despite her academic brilliance, Tina is incapable of casting even a single spell. To make matters worse, entrance exams for the prestigious Royal Academy are fast approaching, and magical aptitude is mandatory! Can Allen use his unique brand of spellcasting to help Tina overcome her magical impairment, a mystery that not even the kingdom’s finest sorcerers have been able to solve? And does her father, the duke, even want him to? 
 
(Source: J-Novel Club)

Exams can be life-changing. Failing one just ended Allen's promising career at the royal court before it began. Now, to make ends meet, the lowborn sorcerer must help one of the kingdom's highest-born young ladies pass hers.
 
Duke Howard's daughter Tina has a brilliant mind, but the prestigious Royal Academy demands magic. Try as she might, she can't cast a single spell, and her impairment has baffled the kingdom's finest minds for years. With the all-important entrance exams just three months away, Allen and his unorthodox brand of spellcasting seem like her last hope to realize her dream of learning sorcery in the capital. So why does her father, the duke, want the young tutor to dash her dreams instead?
 (Source: J-Novel Club)

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Tina Howard