Brief Summary: This research study is evaluating the safety and effectiveness of 2 immunotherapy drugs in combination with radiation therapy as a possible treatment for recurrent or metastatic gynecologic cancer. The names of the immunotherapy drugs involved in this study are: * Durvalumab * Tremelimumab

Detailed Description: This research study is a Phase I clinical trial, which tests the safety of an investigational drug or drugs and also tries to define the appropriate dose and combination of the investigational drugs to use for further studies. "Investigational" means that the drugs are being studied but have not been approved by the FDA (the U.S. Food and Drug Administration). In this study, the combination of durvalumab and tremelimumab is considered to be investigational and as such has not been approved for this or any cancer. -- Durvalumab and tremelimumab are immunotherapy drugs that may stop cancer cells from growing by activating the immune system. The immune system is one of the body's natural defenses against the growth of cancer cells. AstraZeneca has evaluated the effectiveness and side effects of both durvalumab and tremelimumab individually for many cancer types, including lung, head and neck cancer, and melanoma. These types of immunotherapy drugs are also being studied in ovarian, endometrial and cervical cancer. In addition, AstraZeneca has studied the combination of durvalumab and tremelimumab in participants with lung and pancreatic cancers. Based on these studies, AstraZeneca has determined the dosing, schedule and expected side effects for the 2 study drugs when delivered together. In women with recurrent or metastatic gynecologic cancer, radiation therapy is often used to help with symptoms, such as bleeding, pain or swelling. Clinical reports have shown that radiation treatment can increase the body's response to an immunotherapy drug against tumors both within and outside the radiation field. This study is the first in which the combination of durvalumab, tremelimumab and abdominal or pelvic radiation is given to humans. The investigators hope that this combination with radiation will lead to a better treatment response to the immunotherapy drugs. The investigators will also look to see if participants whose tumors contain a particular genetic make-up have a better response to immunotherapy and radiation treatment.