Answer
The answer is me
Explanation:
Just look at its me he i and his
now lets look at the sentences
The teacher called Khianna And  me for a tutoring session.
The teacher called Khianna And  he for a tutoring session.
The teacher called Khianna And  his for a tutoring session.
The teacher called Khianna And  I for a tutoring session.
so me is the right answer