Mine, too, was taken out when I was about 40 because of fibroids. I was glad to be shot of the bleeding, but was not prepared for the overwhelming psychological effect. I kept dreaming I was pregnant, and was on the verge of depression for at least 10 years.
I think, though, that, if you're having a hysterectomy at 61, you have already had closure with your child-bearing years and your mind won't play such tricks on you.
I still have my ovaries, but I go regularly for check ups, and have no family history of cancer or the like, so it's no great problem.
I've never heard of anyone having a hysterectomy just to get rid of the uterus with no medical reason, so let us know how you get on.