If the scope rings are the correct height for your shooting style, you should be fine.
One thing you can do is create a jig to check the alignment.
Find a piece of plastic that isn't too thick and is pre-bent at 90 degrees. A lot of packaging these days comes with a clear pastic case around it that can work for this application.
Measure and cut the plastic so that it will slide into the rifle action on the running rails that your bolt slides in on. Generally about 4 to 6 inches in would be idle.
On the 90 degree bent part you want that standing straight up above the action so you can look "thru" it to the scope itself. You will want to take a measurement from dead center of the action bore and draw a line up the plastic in line with the center. This will give you a focal plane for the scope reticle. I will try to draw a picture here, but art is not my strong suit.
Once you mount the rail and get the rings on the rail, put the scope in the rings lightly. Turn the objective on the scope to wide open, the lowest setting. Look backwards through the scope towards the back of the rifle and insert your test jig.
With the jig in place, you can align both the "X" & "Y" access of your reticle with the center of the action. This will tell you if your screw holes are off set or if your scope is crooked in the rings ( this is called cant ).
Once you get "X" and "Y" where you want them, tighten both sets of rings like you would the lug nuts on your car. A little torque here, a little torque there, until they are good and snug. Make a final check with your jig, then tighten the screws with the recommended amount of torque.
You should then be pretty good to go. ( I apologize in advance for the drawing but I am at my desk and have ZERO drafting or other tools