Hello. This is a decision that only you can decide and there is not necessarily a right or wrong answer. However, research is beginning to show that preserving the ovaries when it is safe to do so is the best course of action (only your doctor can decide if it is safe to do so and since he has left this decision up to you, then it stands to reason that he believes it is so). Removal of the ovaries raises the risk of death from heart disease and the risk of hip fracture and brings up the issues of hormone replacement therapy. It is also being shown that removing ovaries increases dementia risk in later life (see articles here http://ww3.komotv.com/Global/story.asp?S=4739230 and here http://www.earthtimes.org/articles/show/6045.html )Removing the ovaries does however take away the risk of ovarian cancer (which is a very rare cancer but is deadly) and is usually recommended when the doctor believes that cancer may spread to the ovaries. I will provide you an article that you may want to read that supports preserving the ovaries here http://www.latimes.com/features/health/la-he-hysterectomy15aug15,0,2963288.column?coll=la-home-health
Only you can make the decision that is right for you. It is important to be well informed of the risks and pros and make the decision that makes you comfortable. I hope this is helpful to you; please remember to press accept and feel free to contact me if you have anything to add.