Maybe Carlisle is angry at Edward because Edward put the family in danger in the fanfiction. For example, if Edward exposed their vampire nature to humans carelessly, Carlisle, who values the safety and secrecy of their family, would likely be furious.
First, choose a character who has a reason to be angry. It could be a character who has been wronged, like a vampire who was betrayed by their maker. Then, build up their anger gradually. For example, show small incidents that add to their fury over time. Use descriptive language to show their emotions, like 'His eyes blazed with anger' or 'She clenched her fists in rage'. Also, create a conflict that is related to their anger. Maybe they want revenge on another character or are fighting against a system they think is unfair.
One example could be a fanfiction where a character like Jacob is angry at Bella for choosing Edward. In this kind of story, Jacob might express his rage through his actions and words, perhaps even challenging Edward more aggressively than in the original books. Another example could be an angry fanfiction from the perspective of a minor vampire character who is angry at the Cullen family for their influence in the vampire world. This character could plot revenge or try to disrupt the Cullen's peaceful existence.
When Twilight is angry in fanfics, it might also be related to her sense of responsibility. She feels responsible for the well - being of Equestria and her friends. So, if there's a threat that her friends are ignoring or something that could potentially harm Equestria that others don't seem to take seriously, she'll get angry. This can lead to her taking on heroic or sometimes overbearing roles in the fanfic to protect what she cares about.
Edward might be punished in some way. Carlisle could restrict Edward's activities, like not allowing him to go to certain places or interact with certain people. This would be to teach him a lesson and make him understand the importance of following the family's rules and values.
It could be that the angry man is a new vampire who is angry at his maker for turning him. In the Twilight world, the transition to vampirism can be a difficult one, and if he wasn't given a choice, he might be full of rage.
In 'edroar the angry lion twilight fanfic', the uniqueness could stem from the fact that it takes an animal character, an angry lion, and inserts it into a world that is mainly focused on human - like supernatural beings in Twilight. This lion could disrupt the existing order of things. Maybe it has its own motives and backstories that are completely different from what we usually see in Twilight. The fanfic might explore how the Twilight characters react to this new and unpredictable element. It could also play with the idea of the lion being a symbol of something different, like a more primal force compared to the refined powers of the vampires and werewolves in Twilight. This contrast can lead to very interesting story developments.
One possible reason could be a misunderstanding. Maybe Twilight accidentally disrupted some important plan of Celestia's. For example, if Twilight was experimenting with a new spell and it had an unexpected impact on Celestia's castle or a major event she was organizing.
I'm not sure about a specific 'an angry man twilight fanfic' offhand. But you can try searching on fanfic platforms like Archive of Our Own. There are tons of Twilight fanfics there, and you might be able to find one with an angry man character by using the search filters.
It could strain their relationship significantly. Celestia might start to distance herself from Twilight. For instance, she could stop inviting Twilight to important meetings or events, which would make Twilight feel left out and confused.