Is it appropriate for boss to be discussing disciplinary details with other colleagues

[Tiredcarerof1]

Who were not involved in the incident and are not management?

Autistic DD, usually an excellent employee, made a small mistake at work, manager lost their actual mind and yelled and swore at her for it.
DD became very overwhelmed and told the manager they were overwhelming the shit out of her and that if manager carried on she would go home. This was in a private space and not in front of anyone.

Manager now appears to be livid that dd did not stand quietly being yelled and sworn at and is clearly slagging dd off to anyone who will listen at work because it has been reported back via other people at work that because dd argued back that they were close to sacking her.
AIBU to feel that is inappropriate?

It is inappropriate, Managers reaction to the mistake was also inappropriate. What industry is it?

I’ll hazard a guess: public sector

It's obviously bad form OP and your daughter should make a complaint or start looking for another job.

YANBU yelling and swearing at a staff member is never appropriate behaviour at work.

I think she should do both of these things. Even if her complaint/grievance is upheld, she probably won't feel comfortable working there.

A complaint is going in. Are there employment laws specifically in regards to discussing disciplinary action with others?

The manager has limited, if any, people skills.

Unless there's an immediate threat to life, you can't be shouting and screaming at people in the workplace.

Advise your daughter to contact ACAS. It's always a good idea to join a union.

No, there’s no specific law that covers this.

if she has less than 2 years service she doesn’t have many rights. She might be able to make a disability angle out of it (eg: her autism makes her less able to take abuse and intimidation), but to be honest I’d just be looking for another job.

if it’s a big company with an HR function she can tell them on her way out