Not much of one, though there are a ton of exiles and from an outsider's P.O.V. who could care less, a tad more elaboration on an otherwise generic title might help. Plus as a general story writing rule, any one of generic title should be made distinctive from others by noteworthy deeds to its name.
Probably ought to be the 'Jedi Exile' best known for working in secrecy and responsible for the eventual rebuild of the Jedi order. Outcast savior maybe? Savior exile of Jedi? Something more--the jedi exile itself simply wouldn't make sense since there are millions throughout jedi history. Even though "WE" (IRL) understand it. It would be like saying the oucast marine for one of our wars--"which one?".
But I've derailed this thread enough.