It could be a drama. Given that it's based on a true story and involves sudden fury, it might be about real - life struggles and emotional turmoil, which are common elements in dramas.
Another possibility is that it's a crime genre. If the true story involves a crime that causes the sudden fury, such as a victim's reaction to a criminal act, then it would fit into the crime genre. It could explore the motives behind the crime as well as the emotional response of those affected.