Well, one possible consequence could be that Bella starts to transform more quickly into a vampire. Since James is a powerful and rather cruel vampire, his bite might carry some extra 'oomph' that accelerates the process. She might also have more intense visions or nightmares during the transformation due to the nature of James.
The plot changes drastically. For starters, the Cullens might have to deal with the fact that Bella is now bitten by a rogue vampire. They may face some internal conflict about whether to help her or not. Edward's character would be deeply affected as his love for Bella is put to the ultimate test. He has to decide if he can still be with her now that she's been bitten by his enemy.
Often, the story will focus on Hermione's struggle to come to terms with her new identity. She may try to find a cure at first. For instance, she might search through ancient magic texts in the library at Hogwarts.
I'm not sure specifically as there could be many novels with that name. It might be about a love story filled with passion and perhaps some sort of 'bite' which could be metaphorical, like a passionate encounter that leaves a mark on the characters' hearts or lives.