This is what it says on the website:
“Identifying Potential Contraindications and Precautions to Vaccination
The civil surgeon should identify any past or present conditions that might be a contraindication to, or precaution for, the administration of a vaccine. A contraindication is a condition that is likely to result in a life-threatening problem if the vaccine is given. A precaution is a condition that might increase the chance of a serious adverse reaction if the vaccine is administered or a condition that might compromise the immune response to the vaccine.
Civil surgeons must be aware of all contraindications and precautions for the vaccines they administer as described in the ACIP immunization schedules'footnotes. The Pink Book's chapter on General Recommendations on Immunization gives a helpful summary of ACIP's contraindications, precautions, and misconceptions about contraindications, and a list of screening questions that civil surgeons can use. This chapter also gives detailed, concise information about vaccinating pregnant women, people with immunosuppression, and general considerations about giving multiple vaccines at one time.
Contraindications and precautions to specific vaccines are available on CDC's ACIP site.
For pregnant women, contraindications and precautions on CDC's Pregnancy and Vaccination site.
In general, civil surgeons should defer vaccines when a precaution or contraindication is present. If the decision is made to defer a vaccine, the "contraindication" reason for a Blanket Waiver (see below) should be documented for the vaccine dose not given, and the specific type of contraindication or precaution should be documented on the Form I-693.”
However, the only contraindications on the CDC list linked to the COVID vaccine are allergies and myocarditis. Does this mean any reaction that isn’t the two of those isn’t exempt? It makes no sense to me considering how different every human is