Left of it is fine, yes. Short of parallel the plane would look like that. But it's a really fine-grained piece, and there are some students who manipulate their wrist conditions in such a way that they make better downswings pointing the club across the line despite being short of parallel, for example.
What to work on?
Handle forward at address. Ball back a little (it's fairly far forward).
Hips pushed a little more forward and not spinning so fast. Push the hips forward with no turn (it'll feel that way to you - push them forward to first base) and let your head stay back.
Then extend the arms and keep the handle raising through impact without rolling the hands over (this can send the path slightly left).


