Now that you mention it, does anyone know what Rey's desires are? What are her goals, motivations, dreams? Does she want to become a Jedi? Why is she even going to see Luke? She is "accepting her destiny?" What does this even mean? She is a reactive character and Ill defined other than being held back by her need for family
Her desire is to be reunited with her family. Why does it need to be more complicated than that? It's kind of a basic primal need of humans to want to feel like they belong to something. They left her when she was a very young girl, and I think most of us would want to know why if we were in her position. She's definitely very reactionary in TFA for the first half of the movie, but then she begins to take charge of her fate. She wasn't seeking out Luke for her. She was seeking out Luke because it was the last thing she wanted to do for the Resistance. She found companionship in Finn, Han, and Chewie, but that doesn't solve her desire to know the truth about her past. She can't move forward until she's able to put her past behind her. For her, that won't be possible until she learns the truth.
I don't know why Rey was chosen to go give Luke his loghtsaber instead of Leia, but perhaps Rey volunteered to bring Luke his lightsaber, because she thinks he knows something about her family, or just for guidance in how to use her new powers.
We get little pieces of her desires/interests through a lot of visual storytelling in the early parts of the movies. She seems to have an affinity for old machinery, and rebel pilots. She also shows an interest in old stories of Jedi and the Rebellion, but it seems like more of the type of interest we often have in our own history, like World War 2, or the Civil War. She watches the ships take off and land on Jakku, and she watches the families that come in and out of the port, so we know she's compassionate and wanting of a connection. Unkar is her only "close" relation, and he's a twat. How Rey grew up to have such empathy being raised by that dude is the real mystery, but I digress.
What makes Rey interesting to me is that we don't know what her "destiny" is. It isn't clear or spelled out for us. We know she has the capacity to do and be good, and be selfless, as she displayed in TFA, but she's also very much determined to be her own person, and has a hard, rebelliousness to her as well. Kylo Ren by contrast, has put himself in a box by trying to emulate his grandfather. He feels like he has no choice but to follow down this dark path, because of his lineage. His parents and Uncle so throughly embody the "good" and "just" and "heroic," but they deny that very human part of them that is dark, and imperfect.
Rey is "free" because she has no lineage she knows of, but feels torn between being free and living her life, and the new responsibility of wielding such Force potential. What she's ultimately going to do isn't written in stone. By the end of A New Hope, we knew Luke was going to go on to do heroic things. There was a big fanfare and ceremony to declare that he was a good dude doing good stuff. At the end of TFA, there's a big fat question mark for all of the characters involved: what's next? There's no clear direction the ending of TFA gave to us. We may think, because it shares a rhythm with the original trilogy that we know how it's going to play out, but we don't.
Rey certainly could become a Jedi, but that doesn't seem to be what she wants. She's too hung up on her past, and the whole entire cast of TFA was reactionary. I don't think it's something that solely on Rey's characterization.
