It really depends. Some Twilight fans are really into 'edward saves bella fanfiction' as it allows them to explore different scenarios and emotions related to their favorite characters. However, not all fans might be interested. Some might prefer other aspects of the Twilight universe like the world - building or other character relationships.
One common plot twist is that Bella might be in danger not just from the typical vampire threats but from a human organization that knows about vampires. Edward then has to save her while also hiding the existence of vampires from this group. For example, in some fanfics, there are hunters who target Bella to get to Edward, and Edward has to outwit them.
One popular 'Twilight' fanfiction where Edward saves Bella could be 'Saved by the Vampire'. In this story, Edward has to use his unique vampire abilities in a new and dangerous situation to rescue Bella from a powerful enemy that the Cullens were not aware of before. It adds a new layer of mystery and action to their relationship.
She might be in shock at first. After all, she was in a life - threatening situation. But then she could feel extremely grateful towards Edward and their relationship might grow stronger.
Bella would likely be very frightened during the car incident. Once Edward saves her, she'd be extremely relieved and probably feel even more attached to him. Edward, on the other hand, would be initially worried and focused on getting Bella to safety. After saving her, he might feel a sense of relief as well, but also a bit of that over - protective feeling that he often has for Bella.
In many such fanfictions, Edward might use his superhuman speed to reach Bella just in time. He could have sensed her danger through his vampire instincts and dashed to the cliff edge, grabbing her before she falls.
One interesting aspect could be how their relationship dynamics change. In the original, Edward was the vampire and Bella was the human, so reversing their roles might lead to a different power dynamic. For example, Bella as a vampire would have more physical strength and speed, which could make her more protective of Edward. Also, Edward as a human might struggle with his mortality compared to Bella's immortality, creating new tensions and storylines in the fanfiction.
There's also 'The Redemption of Edward Cullen'. This fanfiction explores Edward's past in more detail and how it affects his relationship with Bella. It adds new layers to his character and gives a fresh perspective on their love story.
Some popular 'Twilight Edward and Bella Fanfic' include 'A Glimpse Beyond Twilight'. This fanfic gives readers a chance to see what could have happened after the events of the original series. 'Edward and Bella: Unseen Moments' is also great as it reveals some of the unshown moments between them. 'Twilight Fanfic: Edward and Bella's Love Redefined' is another good one, as it redefines their love in a more complex and interesting way.