I'm willing to bet that even if she could barely write, any university in the world would be happy to grant her tenure as a professor of "Kryptonian studies". Think about it:
1) Language - a completely non-Earth based language would be a holy grail for linguists.
2) Publicity - a kryptonian teaching would attract students like no tomorrow
2) History, sociology, etc - she's one of the last living kryptonians, and the last living one who actually grew up in kryptonian society. Learning about it would be super great for everyone involved.
Throw in advanced math on top? Kara could easily have a career in academia.