The adjective qualified means someone who is fitted or eligible and has the qualities that the institution is looking for. It could also mean someone who has the necessary qualities to be able to perform a job or task.
Synonyms are eligible, able, capable, or trained.
The word origins from Medieval Latin (1525 – 1535) quālificāre, equivalent to Latin quāl(is) of what sort plus -ificāre -ify. It was first used 1758 meaning “qualified for election” and in 1962 “capable of getting enough support to win an election”.
Because of her high score, she became qualified to study at Oxford University.
After all the hardships, he became a qualified professor and will soon be teaching at the university.
Being qualified for the position is not as important as having a good personality.