Are you wanting to keep with the idea of her mother having killed the Huntsman after finding out his betrayal? I've seen versions that state that, cause that would definitely put a damper on if she cared if the princess died or not.
Of course, I imagine she'll be a bit feisty anyway, so she might not care for a princess even if she's following along with Dad in his line of work, and prefer the forest to playing bodyguard. (Either way, she's probably not going to like her much, whoops)