The general consensus on bullying is more

‘An act of intimidating a weaker person to do something’

‘Bullying is the use of force, coercion, hurtful teasing or threat, to abuse, aggressively dominate or intimidate. ‘

Personally I would always see it as someone using a position of power to keep others in control and coherce them into following their beliefs or risk being isolated / punished / attacked or spoken to badly.