I shot from 1966-1995 right handed but left-eye dominant. Had to shoot with left eye closed. Began shooting left-handed with both eyes open in 1996. In archery both hands have important job, which one holds the bow isn't as important as the string hand being on the dominant eye side of the face. I wish I had known this when I started.
Only about 50% of people who are left-eye dominant shoot with their dominant eye. More should. But, many people do just fine shooting "wrong-eyed", they just have to close, wink,or otherwise "fuzz up" the left eye to make the right eye carry the load.
The thing to watch for, if someone (especially youth) is shooting right-handed but left-eye dominant is they don't lean the head over the string to line up the left-eye. This can lead to form issues and even muscle injury.