Absolute non-issue as long as you have two working arms and hands. I'm right-handed and the majority of my flying (stick or yoke) has been with my left hand. Same with driving--most of us here drive on the right and if you drive a manual, well, you're going to be using that right hand to shift. At most it takes a couple flights to get used to it.A center stick is convenient for sure, but it likely deprives at least one of the occupants from using their preferred hand to fly it. If you have a right-handed instructor and a left-handed student... then no problem. If you have two right-handed people on board then one of them is going to have a harder or less intuitive experience.
One advantage to the stick in your non-dominant hand is that writing and working avionics can be a bit easier.