Hi Linda,age 54,
I too am postmenopausal; it being 3 years now and have a cyst. My ovaries are also a bit prominent for a postmenopausal woman. My doctor told me that the ovaries do not shut off immediately after menses stops and so cysts can develop. I am waiting to see one more doctor in deciding to have my cyst removed. Write down all your questions you have for your doctor. It is amazing how we forget to ask the very thing that has been on our minds. Good Luck!
Welcome. Yes, you can get a cyst after menopause. Even though, you have paused your ovaries still make a small amount of hormones.
~Tascha