Tim and Darryl are correct, as the vast majority of shooters of any standard use some form of blinder on the non aim eye cross dominance is no issue, just use a blinder as do 99% of non cross dominant shooters.
The important issue is to have the correct rifle prescription lens including astigmatism on the aiming eye, long vision plus +0.5 and astigmatism correction, I have lost count of the number I've known who have many and varied but wrong lens, and then wonder why they can't shoot!
Good shooting
Robin
Walther KK500 Alutec expert special - Barnard .223 "wilde" in a Walther KK500 Alutec stock, mmm...tasty!! - Keppeler 6 mmBR with Walther grip and wood! I may be a Walther-phile?