We know for sure that Rey wanted to be a Jedi during The Last Jedi (it was Luke that didn't want to be one). Rey even takes the Jedi temple books.
But a funny thing happened on the way to being a Jedi. It turns out
Rey is the grand-daughter of the one and only Emperor Palpatine, aka Darth Sidious, the last Sith lord
As if that weren't bad enough, we have the re-emergence of the "balance the Force" trope, which does not mean what you think it means. At the end we have Rey
bury Luke and Leia's lighsabers and light her own shiny new yellow one) and take the name Skywalker.
It kinda leaves things vague at the end of the movie, however.
All of the known Jedi are now dead/ghosts, and there are no more Skywalkers. We don't know how much Leia trained Rey either.
So did Rey make it? Is she a Jedi now? Or is she simply some really adept Force user who eschews titles and orders, similar to Ashoka Tano or the Gray Jedi? Looking for some indication of how Rey saw herself.