A consequential event refers to something that happens as a result of or is caused by a previous action or event. It implies that the occurrence has significant or important consequences or impacts. Full definition
No compensation or claim shall be accepted for any death or body injury arising out of event which is a direct result or consequential event of usage of liquor or drug or any other narcotic substance or an act of self sustained injury or suicide attempt. (policybazaar.com)
For the new study, Brandt and his colleagues analyzed approximately 15,000 measurements from 18 prior studies of natural gas leaks from across the U.S. using a statistical technique called extreme value theory, which is useful for analyzing infrequent but highly consequential events. (sciencedaily.com)
I don't consider the tragedy at Lac - Megantic a climate issue, but it was certainly one of the most newsworthy and consequential events of 2013 here in North America. (planet3.org)