Thanks for the responses so far.

I do not have a strong preference for whether I shoot the rifle (LH) or (RH) as I have not really shot a rifle at all for over 15 years. I only shoot my bows (LH) because that is my dominant eye.

I will be using a bolt action with a scope.

So, I guess my choices are either buy a (LH) rifle and shoot my dominant eye, or buy a (RH) bolt rifle and either shoot it (RH) -or use the (RH) rifle and shoot it from the opposite side.