Punching a jaw doesn’t break your hand if you know how to throw a proper punch.

Learn some Karate, Muay Thai, Boxing/Kick Boxing, Brazillian Jiu Jitsu, Judo, etc, just make sure you go to a real dojo/training center, led by someone with actual pedigree, not a McDojo that’s just an overpriced daycare.

Yes, a well executed quick jab to the nose can easily break it and cause bleeding, but a successful solid hit to the jaw will get them tasting their own blood, not just seeing it.

Moreover, the goal is to incapacitate the threat, the threat being propogation of the bully’s bullshit.

Noses heal quickly, a deviated septum is annoying but manageable.

A seriously broken jaw is disabling, seriously damaged tendons and muscles there cause constant pain and nuisance while speaking, eating, drinking, and more effectively disable the ability to publically propogate bullshit.

If punching a nose is not painful for you, but punching a jaw is?

You need to do more training. You need to be capable of handling more pain, you need to have proper form, you need to have proper strength and control in your hand, wrist, arm and shoulder.

Throw a bit of a hook, or do a more straight punch from an off center axis or angle, learn how to do both a real nose jab, and a fake out nose jab that then ducks or shifts to throw the real strike afterward.

Any dumbass can throw all their weight into a full on haymaker or straight punch just generally aimed at the face.

A person with excellent control and technique can alter the amount of force, angle of attack, kinematic total flow of an attack… in the split second between starting the attack, and it connecting.

Core strength and flexibility is key.

For most people who aren’t seriously jacked, all strikes that can do serious damage originate from the torso, the hips, the abdomen. Jabs from a seriously fit person can do serious damage, but presuming a training regimen starts from already being jacked in all the right muscle groups… is unrealistic, and ineffective training for just most people who aren’t already some kind of gym addict.

Oh right, final note:

Never, EVER, intentionally aim a frontal strike at the throat, the trachea, the windpipe.

Not unless you want to go from the goal of incapacitating an attacker, to manslaughter/murder.

There is way too high of a chance of literally killing someone, intentionally or not, with a frontal strike aimed at the windpipe.

Do that in basically any officially sanctioned fight of any kind, and you’re going to be penalized or disqualified.

Do that in real life and yeah, you may kill somebody.