Is there a term for person who´s socially awkward around strangers - someone who won´t talk to strangers, but acts like complete extrovert around close friends or doesn´t have problem to talk to absolute strangers (=someone who you see only once in a life - like people on street, shopping malls etc.)?
Oh! He's a boy! She's a girl!
They are Christians! They are Buddhists!
Emotionally balanced? Being an introvert/extrovert is about your social interactions and feelings, nothing to do with mental health.