I think these pistols are easier to carry than they are to shoot.
I don't know how much shooting you've done, so you may be way past the following suggestions. No offence intended.
These triggers are tough to master. Lots of dry fire work is necessary unless you have a Federal grant for unlimited ammo.
Focus on the front sight. Seeing more of it will bring the POI up.
When you are shooting, worry about a tight group, not the placement of the group - at least until you consistently group 6 shots under the size of a teacup at 7 yards.
Limit your live fire sessions to about 25 rounds. For every 25 round live fire session, do 10 dry fire sessions of 25 each. Handle your pistol a lot.
Low - left often has roots in trigger control and grip.
All that being said, I wouldn't be shocked to find that your pistol has some intrinsic issues.
If things don't get better after you've used up the 250 rounds you have on the schedule above, if you know a competent gunsmith (probably not the guy at the big box store) you might have him look at it - not to fix, to diagnose.
Then send it back to S&W. your problems aren't unique with this pistol
Or, call S&W and nicely ask them what problems they've seen with this pistol. You may be surprised at the list they give you.