I am sorry you are feeling bad and having nausea. Nausea is one of the most awful feelings that I dread getting. I did not ever get nauseated with my hot flashes and symptoms of menopuase, but it is possible, as everyone is different.
Here is a list of menopause symptoms,but this list is long and doesn't mean you will even experience more than two of them.
If you keep having nausea, I would still be looking for answers, to be sure it is not something else other than menopause. You might also have your gyn check your hormones and see what he thinks as well.
Yes, even though you are only 34, sometimes the ovaries can lose their steam after a hyst, and might cause some symptoms . The highs and lows of your hormones as your ovaries try to figure out what to do, can make you feel this. When I had my ovaries before my hyst I had symptoms of PMS, and I was in the process of starting menopause.
I have felt better since my hyst by changing to healthier diet, taking vitamins and calcium, and exercising at least 3x a week.
I have a book that I like called, "Menopause Without Medicine" by Linda Ojeda,Ph.D. you can get it at the site store, or check your local bookstore.
I hope you feel better soon.