The airline has a duty of care for passengers and staff which is delegated to the commander for the period of time he is on board the aircraft. The question is whether this duty of care was carried out or whether an unnecessary risk was taken in allowing this person to travel.
So you seem to be saying that the PIC has a duty of care to ensure that a passenger does not have their feelings hurt because that is all that occurred. The guy's ranting was appalling, we do not know what provoked it, the video does not show that but the result is hurt feelings that is all. The threat to push her would constitute a threat and as such may be actionable but otherwise...