A medical vaccine exemption is a stronger strategy than a religious or personal belief exemption in the military, since force protection is valued above all else. The military places a monetary value on every resource, including people and military working dogs. So while advocating for your own individual health, you will also have to convince the Chain of Command that you are a valuable resource to the unit's mission to avoid threats of being subject to Chapter Separation Procedures out of the military for a health condition or being punished under UCMJ for disobeying an order.

The Military Vaccine Program
Military personnel are required to get all ACIP recommended vaccines (TDAP, MMR, VAR) to include Influenza (seasonal, northern hemisphere, southern hemisphere) and HPV vaccines that are not mandatory for civilians in the workplace.  Military personnel pending deployment also receive additional vaccines that are not common on the civilian schedule: Cholera, Typhoid, Yellow fever. A subgroup of military personnel in Republic of Korea and Japan also receive the Japanese Encephalitis vaccine. In 2018, FORSCOM ended a mandatory routine adult schedule for Anthrax and Smallpox vaccines. Since 2011, new enlisted recruits receive an oral Adenovirus vaccine.

What You Can Do
Print and review these resources when approaching your doctor. First, the Military Immunization Tool Kit includes a Adult Immunization Schedule with contraindications, to include pregnancy and immune compromised individuals. You can use this resource to broach the subject of exemption in any way that may apply to you. Second, you can download and print the DOD (Department of Defense) Form 3111 — an immunization screening form. This form is never used to screen military personnel for general contraindications. It is ignored in military practice much like the screening checklist contraindication form for children in pediatric practice is ignored. There are also screening checklists for each individual vaccine (linked in the toolkit above). These screening tools are a good foot-in-the-door strategy to begin a conversation with a doctor to determine your health dictates a medical exemption.