Given that Edward is a vampire, it perhaps isn’t surprising that he’s not the only dangerous thing in the woods—who knows what other supernatural beings populate this world. Edward continues to act as Bella’s protector—which also continues to suggest that he thinks she
needs protection. It’s possible to think that Edward is being sexist, though of course he is also a vampire with knowledge of the supernatural world, and Bella for her part seems energized by his protectiveness.