Final answer:
The preferred procedure for recurrent or persistent carcinoma of the cervix after radiation is a radical hysterectomy, which involves extensive removal of the affected reproductive organs and surrounding tissues.
Step-by-step explanation:
The preferred procedure for recurrent or persistent carcinoma of the cervix after radiation therapy has been completed is radical hysterectomy. This procedure involves the removal of the uterus, cervix, part of the vagina, and a wide area of tissue around these organs. Sometimes lymph nodes in the area are also removed. Radical hysterectomy is often chosen when cervical cancer has not spread to distant parts of the body but has persisted or recurred after initial treatment with radiation. Other surgical options like simple hysterectomy or procedures like colporrhaphy and myomectomy are not typically used in recurrent cervical cancer after radiation therapy as they do not provide as extensive removal of cancerous tissue as required in such cases.