In the passage from New Moon by Stephenie Meyer, Bella discovers that she has a serious injury when Jacob alerts her to a large cut on her forehead that is bleeding profusely. Despite her obvious distress, she instinctively feels the need to apologize for her injury, highlighting her concern for others even in times of personal crisis. Bella's reaction shows her emotional state as she grapples with the pain and the shock of her situation.
Jacob, on the other hand, is more focused on helping Bella than on her apologetic attitude. He questions why she would feel the need to apologize for something that is not her fault, indicating his protective nature and concern for her wellbeing. This interaction captures the essence of their relationship, as Jacob offers support while Bella struggles to handle her own injuries.