A person who in appearance seems to be emo (black hair, black clothes, skinny jeans, etc.) but listens to punk music and personality wise has more in common with a punk.
Emo: looks like all of their friends, listens to the music the radio tells them to listen to, whiny, wimpy
Punk Emo: tough attitude, anti-fascist, educated, original
stranger: hey emo kid, go cut yourself!
punk emo: fuck that, i'll cut you! (and they proceed to do so)