Can Someone Have A “dominant” Eye That Will Always See Better Even With Glasses?

I recently got a new eye exam and glasses and they have been giving me headaches. I noticed that my vision out of my right eye through my glasses is not as good as it is through my left. My left is perfectly fine, probably 20/20. My right eye vision is blurry at a distance.
My eye doctor told me that the prescription is correct and that it is because I am left eye dominant. Can this be case? I know I have astigmatism in my right eye so maybe that is causing it? I would just like to not get headaches wearing my eye glasses.