With your fallopian tubes and ovaries removed, it is VERY unlikely you would develop an ovarian tumor, but for those who are at marked familial or personal risk, it is possible to get “papillary serous malignancy” of the peritoneum.
Uterine and Cervical Tumors.
If you keep your cervix, you'll need to continue having regular cervical/pap screening.
If you have your cervix removed, and you have a history of significant cervical dysplasia (CIN-2 or 3), it is recommended that you continue to receive pap smears of the vaginal vault for 20 years after hysterectomy.
If you have your cervix removed, and you do not have a history of significant cervical dysplasia (CIN-2 or 3), then you no longer need to receive routine pap smears following surgery.
Visit www.iapmd.org/surgery for lots of evidence-based information and resources for those considering, going through or recovering from surgery for PMDD/PME.