I think all you “Rey is a Mary Sue” or “has many Mary Sue-like traits” are totally misunderstanding the writers’ intent with the character.

Yes, she does a LOT of amazing, seemingly impossible or unbelievable things. So much so that even she herself is astonished at what she accomplishes. All of this points to the idea that she is apparently MUCH more than she initially appears to be. There is a huge mystery to her background and all of these amazing feats and traits are clues to what that background might be.

There are other clues, like when Kylo Ren force-pulls the officer halfway across the room to ask, “what GIRL?!” (Which implies he might have some knowledge of who she is). Or the almost ashamed look on Han’s face when she comments about all the green (this may not be a clue, but for now I believe it IS a clue that Han knows more about her than he lets on)

Ultimately it will be up to the next two installments to make the mystery pay off, so time will tell if the writers did a good job. But as far as TFA is concerned, she’s NOT a Mary Sue. She’s a mystery and her amazing powers are clues to the answer.