Luke was whiny and immature. Most of his training centered around focus. Rey has plenty of focus and self reliance. The Force accents traits you already posses. Rey is already a pilot and great fighter when we meet her. You’re right, she is on another level.
Force abilities manifest themselves. Jedi training seems to be mainly learning the Jedi way in how to be disciplined and adhere to the Jedi code.
I love that Rey is not beholden to what came before. If I wanted to watch another movie with a master teaching an apprentice, well we have those movies already. I’d rather see how Rey does it this time.
You don’t need to show a master training an apprentice to suggest that she was trained. The movie can focus on other elements of the story in stead.