Upvote:6
An "avatar" is a Hindu term and is a "deliberate descent of a deity to Earth", the coming of a Hindu god in the flesh, if you will. For Christianity, Jesus Christ would fulfill this purpose, not regular people. In English, the term is more closely translated as "incarnation", but more accurately as "appearance" or "manifestation". <-- also per above link.
To consider ourselves physical incarnations of God (i.e. individual "Gods" in the flesh) would be heretical to Christianity (heretical, by definition, means "a belief or opinion contrary to orthodox religious (especially Christian) doctrine).
Here is a link to a blog by Bruce Charlton (read, and then returned by David) asserting that we are not God (henceforth, we are not "incarnations/avatars" as Christ is). I could not find an official Catholic, Lutheran, Protestant, etc. source refuting this through my research, but the teaching is inherently un-Christian, as Charlton's blog pointed out.