...a tutor makes an huge difference but the RIGHT tutor is the issue.
That's an important factor, I think, I started with a tutor who was fine in her own way, but was just not right for me or my musical tastes/aspirations.
If one wants to play rock or funk or jazz or similar, a classically-oriented tutor may well be a bad choice. If you want to play classical, the reverse would probably apply.
It isn't just a case of the styles of music, it's often down to the type of play ... formal, informal, improvisation and so on.
I'm afraid there are few shortcuts.