Interesting thread and lots of good advice but something very important may heve been overlooked:
If both front and rear sights are to the right or left, they cancel out any errors. Realize that the REAR sight should be moved in the SAME direction as you want to move your group.
However, the FRONT sight should be moved in the OPPOSITE direction of where you are want to move your group.
In your case, both sights to the right introduce NO ERROR so the problem is only visual, not functional. Iwould leave them alone.
If, after shooting the gun over several range trips and at different distances and at different targets, you still shoot to the right or left consistently, move ONLY the front sight slightly in the OPPOSITE direction of where you want your groups to move.
The rear sights on Shields are NOT meant to be adjusted. The dovetail is purposely designed with no room for meaningful adjustment and there is a set screw installed to prevent movement and it is permanently red loctited in place.
The front sight IS designed to be adjusted slightly and it should be moved only with a non-marking punch and NOT a sight pusher.
Sight pushers exert extreme pressure on the slide and sight; have been known to crack slides and snap off sights; rarely ever fit perfectly; usually "jump" the sight past your intended spot; and good ones are very expensive. A careful steady hand with a non-marking punch and a small hammer will usually get the job done more precisely for almost no cost.
As a rule, Shields come out of the box with rear sights more to the right than perfectly centered. Front sights are usually pretty close to center. The factory does NOT adjust sights based on where the gun shoots in normal production. And finally, Shields with perfectly centered sights may, from a Ransom Rest, shoot several inches in any direction from the X ring.
Please don't drive yourself nuts and deteriorate your gun trying to get perfect visual alignment of your sights because cosmetics never won a gunfight.
Best regards and enjoy your Shield.