I can understand what you are going through, as I have had several surgeries to remove cysts and or ovaries. If you do not need the ovary, then I would recommend getting it taken out. It is possible that you may get cysts on the left ovary, or none at all. Good luck on your surgery next week. Please keep us posted on how you are doing. Prayers coming your way.
It is possible to get cysts on the remaining ovary, but really nobody can predict something like this. Just hope for the best. You may go for years without another problem, or none at all. Best wishes on your upcoming surgery.