For all those thinking that Rey "picked up" on the Force powers too quickly, remember... There was no safety buffer or step by step given to Luke when Ben begins to train him. He famously tossed him the sabre and said hey, this thing was your father's see what you think of it. Just a short while later he got him BLINDFOLDED and asked to defend against the Attacks of the remote. It's not about leaning a corse of study, it's about TRUSTING your feelings, FEELING the Force, ALLOWING it to GIUDE your actions and obey your commands.
Luke's issues, which were actually brilliantly brought out in ANH, were that he was too tied to the mundanities of his life, bogged down by his Uncle's philosophies and pragmatism to allow himself to "let go". Later, with the death of Owen and removal of all to which he was previously tethered, he swings in the opposite direction. His thirst for adventure, excitement (a Jedi craves not these things) similarly impede his deliverance to the nature of the Force to the point that Yoda fears he is untrainable. These personal elements within Luke are some of what makes him such a compelling character.
Now, flash forward to Rey. She is an absolute NATURAL. she is PATIENT in her meager situation on Jakku , putting up with a demeaning job and boss waiting for her family, she is CALM in the face of great danger, she is DESCIPLINED in all that she does and in the way that she's taught herself so many technical skills. With all of these qualities (and extreme hotness on top of it all), and the Force lineage that we'll soon see, the real wonder is that she's not already at MASTER level.
Keep in mind, there wasn't always a Jedi "Academy" at the top of a Jedi temple on Courasant. There had to have been Force sensitive individuals who came before who built all of that. I think Rey could be the new Chosen One with Luke as the new Yoda...