Nowadays a hysterectomy is often the main treatment for early cancers of the cervix (the neck of the womb).
 
If the cancer is quite shallow and has not spread far into the tissue of the cervix then a simple hysterectomy is all that is needed, which involves taking away the cervix and the womb. If the cancer has gone further into the cervix then usually a radical hysterectomy is recommended which involves taking away some of the nearby lymph glands (lymph nodes) as well as the womb and cervix.

It is very rare indeed for a cancer of the cervix to spread to the ovaries and so there is no need to remove the ovaries when you have a hysterectomy for a cervical cancer. However, the doctors may suggest removing them and the decision on whether or not to keep your ovaries really is up to you but your age might influence your thinking.

Up until the time of the menopause the ovaries produce the female hormones. If you are still having periods it may be better to keep your ovaries in order to provide a natural source of these hormones for as long as possible.

On the other hand if you are postmenopausal then your ovaries are serving no useful purpose and could possibly be a source of problems in later life (with the development of cysts or ovarian cancers). In this situation having them removed at the time of your hysterectomy would be quite a reasonable thing to do.

Women who are close to the menopause may also consider having their ovaries removed for the same reasons and can have hormone replacement therapy (HRT) to cover the time when they would normally be producing their own hormones and prevent any problems of having an early menopause.
 
Having your ovaries removed won’t make the operation any more difficult or increase the risk of complications so it really is up to you to decide. If you are finding the decision difficult  it may help to talk to your GP or ask to speak to the nurse specialists working with your consultant.