IMO, apart from occasional obvious nastiness, it only becomes bullying once the recipient has made it clear that they don’t like it (or another person has confirmed with them that they don’t like it and then says so on their behalf).
If you’re upset but stay & fight it out, it’s indistinguishable from banter/argument especially on here. Take responsibility for your own feelings & make it clear that you feel it’s unacceptable
If you see behaviour that you don’t like in somebody (or on a forum), you can consider them a cock/boor (or big hitter 😉 ) but not a bully unless you know they are aware of the effects of their behaviour on individuals and deliberately continuing