First of all, irregular bleeding is very normal during perimenopause, the transition into menopause which can last for quite a few years. Being that you are 50, it may not be long before this is all over.
I've read of a number of women who've had enlarged ovary(ies) that were nothing of concern. I have to wonder if the wildly fluctuating hormone levels that are the cause of irregular bleeding are also responsible for enlarged ovaries. Fibroids are also common, even in younger women and typically do not require intervention.
It's critical for women to know that hysterectomy as well as ovary removal are grossly overused surgeries (only about 10% are necessary). Not only that, the uterus and ovaries have LIFE LONG functions so you don't want to lose any of these parts unless it's necessary (e.g., endometrial or ovarian cancer).
I had an unwarranted hysterectomy with ovary removal after my gynecologist of 20 years used ovarian cancer scare tactics. That was 11 years ago and I regret it every day. It has caused many of the short and long-term medically documented problems. I will be glad to share if you want the details.
Unfortunately, with the epidemic of these surgeries, you will need to advocate for yourself and be wary of any doctor who recommends organ removal. I was also referred to an oncologist. I wish I had found my own and not seen the one recommended by my doctor. But I'm not sure that would have even saved me. As my ovarian cyst frozen section was benign, all that should have been removed was the cyst.
Please keep us posted on how this plays out.