A high school student becomes an unwitting pawn in a game between two teachers, and she must find a way to outwit them in order for her to get accepted to university.

As mrliteral and Richiev said.

If she's an unwitting pawn, then how does she know she has to outwit them?

Hi Byron,

INTENTION: get accepted into university.
OBSTACLE: two warring teachers.

Let's dissect it...

When she becomes a pawn between two warring teachers, ** the inciting incident.
a teen must find a way to outwit them in order for her to get accepted into university.
before... *** then what happens? I feel like we're missing something.

Notes:
"must find a way to outwit them in order... " - what does she do specifically?

It's great but work hard a bit.