I guess that's a natural reaction, but you can rest easy. The initial vaccine trials focussed on vaccine safety. The trials were designed to gather data quickly and accurately on how effectively the vaccines prevented large groups of people from getting seriously sick with COVID-19. In the effort to get the vaccines out quickly, other effects of the vaccines were left untested. Now scientists are testing smaller groups of people with greater frequency to understand how the virus travels between people after vaccination. The vaccination has been proven to reduce the disease burden, and keep people from progressing to hospitalization , and ventilation, or worse. Understanding transmission as it relates to vaccination is the next step.

