You can get cervical cancer after a hysterectomy if the cervix remains in place. If the hysterectomy is a partial one that does not remove the cervix, there is indeed a risk of a woman still getting cervical cancer.[1].omen who are stricken after a partial hysterectomy with cervical cancer may also be subject to vulvar cancer. This is because the same types of human papilloma virus (HPV) warts that can cause cervical cancer also occur in many cases of vulvar cancer. Smoking is another leading cause of both cervical and vulvar cancer.