This is an interesting concept. What would you call your inner teacher?
This also, at least for me, emphasizes something I have a tendency to forget; teachers are not always more advanced in the subject then the student.
Another thought...a student needs a teacher when the student has decided they no longer have anything to learn.
Does it really need a name at all? I suppose it is suitable for the sake of clarity to know its name, but I consider knowing a name to be different than what is a mere label. I consider knowing a name as in knowing the fundamental quality
of something. Perhaps similar to that popular slogan:
"I've got your number".
How would I call it, you ask? Truth, I suppose, though giving a name seems to disperse its power from my sight. I can, at times, just see its face. Perhaps it is simply "ME" or "I AM" in the broadest sense of the words... I don't know.
Your closing thought is beautiful and very pertinent.
Kohai