Pfizer’s Covid Vaccine and Allergies: How Concerned Should You Be? December 11, 2020 Auto Bot allergies, Clinical Trials, Coronavirus (2019-nCoV), Coronavirus Risks and Safety Concerns, Food and Drug Administration, Pfizer Inc, Vaccination and Immunization, your-feed-healthcare 0 British health officials recommended that people with severe allergy reactions not be given the vaccine. Such reactions to vaccines are rare, even in people who have allergies to food or bee stings.