Is there to be a whole lexicon of various powers associated with telepathy? You could create a whole culture around it, if you were so inclined and, as you say, explain a bit. Just for fun, here's a rif I hope is inspiring...
Telepathy - generally the ability to send or receive thoughts over distance; refined as...
Telecog (teleconitive, telecognition) - the ability to lift thoughts and some emotion directly from the active cognition centers of a mind and to place ideas/thoughts in the waking mind of others.
Telememnic - the ability to read memory or implant memory in the minds of others
** Telegogue - the ability to dominate others, implant suggestions or commands in the minds of others.
** Teledemic - the ability to implant a personality in the mind of another - typically your own, as a sort of homunculus riding shotgun in the semi-consciousness of another human. Perhaps sublimating the others personality over time??
telephobic - the ability to induce intense, persistent, and irrational fear in others
telesomic - the ability to induce sleep / unconsciousness in others. Perhaps a broader ability to enter into the sleeping mind with significant powers but complete lack of ability to affect the waking mind.
telethesis (teleanethesis, teleanethetic) - the ability to share the senses (sight, hearing, touch, smell, taste) of another mind, but not conscious thoughts or emotions.
Just in case I wasn't clear -- all of this is invention based on existing word roots in modern English.