The severe allergic reaction, which appears to be rare, can happen with either the Pfizer-BioNTech vaccine or the rival Moderna product. 11.1 cases of anaphylaxis per million doses with the Pfizer-BioNTech [1.3 cases per million doses with flu vaccines]. Morbidity and Mortality Weekly Report (MMWR) : December 14 and 23, monitoring by the Vaccine Adverse Event Reporting System detected 21 cases of anaphylaxis after administration of a reported 1,893,360 first doses of the Pfizer-BioNTech COVID-19 vaccine. Most reactions — 71% — occurred within 15 minutes of vaccination.