A little more background on the rifle.
Is is new or new to you?
Has it been like this since day one?
Have you checked the sights well?
Case in point I made a replacement sight for the front of a rifle. The thing is that it shot consistently left or right at the time , can't remember which and for the purpose of this story it doesn't matter, which ever way it was, that is the side it always shot too!
The only way I could get it to hit was too off set the front and rear sight so badly it was driving me crazy.
I pulled the front sight and realized the factory dovetail leaned to one side. In other words the front sight leaned.
I reworked the dovetail but now it was too deep. Instead of shimming I went this manner! In the base of the front sight I drilled and tapped set screws.
Here is a better view of how the sight looks and works.
I eyeballed it when I set it up and had to make one tweak after that. I locked the set screws with Loctite and it's been right there since the day I sighted it in.
It took me once at the range to get it set straight up and down and hitting consistently when dead centered in the dovetail.
So what I am trying to say is examine the front sight well! It may be leaning and that is what is throwing off the sight picture. It was not originally obvious on this rifle. But think about it, that front blade does not have to lean much to create a 4-5" miss windage wise!