I think that some of you are jumping the gun on this. It's speculation that she killed herself as a result of the vid unless there's actual proof to back it up. Societies for the longest time have used public shaming as a form of punishment that actually discourages bad behavior to a point. If it was used more widely, it would be more productive to society rather than just put people in jail.
Public shaming when it works. I bet she won't do that again.
Parents also use public shaming to punish their children especially if other forms of punishment aren't working. It works but sometimes it doesn't work so well. It's completely fine in of itself. Did the father take it too far? I don't know but it's not really up to public opinion if he should be punished for the suicide of his daughter. I think that losing his daughter in that way is punishment enough if he really pushed her to that point.
