She is the pride of the university.

Literal

She [topic-は] university [genitive-の] honor is.

名誉 ('honor, prestige, distinction') applied to a person via the [X]の名誉 pattern means 'X's pride / X's honor' — describing someone whose achievements reflect well on their group. The structure はYの名誉だ is a fixed evaluative pattern: 'X is the pride of Y.' Common in news and biographical contexts, especially for athletes, scientists, and notable graduates.