After Claire was told she was adopted by Noah and Sandra Bennet, she went for a walk and thought what her parents were like her birth parents. She wanted to meet them and hoped they could help her with what was going on with her. When that day came when she met her mom Meredith, she was thrilled that she met her birth mom, and that it had gone well. But when she met her dad Nathan it didn't exactly go well as she hoped it would, and from then her and Nathan didn't really connect like she would of hoped and liked.
Claire wanted to be apart of Nathan's life and able to have a relationship with him like she has with Noah, but she always felt Nathan was pushing her away or that he never really cared about her. And this made her feel sad, upset, unloved by him, and not as important to him. She was always happy to be Claire Bennet daughter of Noah Bennet, but it was that other part of her she wanted to know her real father and for them to be close.
Claire was fed up with everyone telling her to be careful even though she could heal, and making decisions for her thinking they knew best,and telling her what to do with her life, like she had no say in it. But when she talked to Peter who is her uncle, at the time neither of them knew they were related to each other. And Peter was telling Claire that only you know what you want to do in life and its what you make it to be. No one else can tell you what to do, its just something we all have to figure out ourself and with that Claire did what she wanted to do not what other people wanted her to do.