Is the COVID-19 vaccine safe?
Yes. The authorized vaccines went through rigorous development and testing processes. The most adverse reactions were two test subjects reporting an allergic reaction after receiving the vaccine in the U.K. The Centers for Disease Control and Prevention (CDC) says it is still safe for people with allergy problems, and those who have experienced severe reactions to prior vaccines or injectable drugs can still get the vaccine, but should be monitored for 30 minutes afterward. If you have concerns, you should discuss them with your doctor.
Sources and more information:
https://www.cdc.gov/coronavirus/2019-ncov/vaccines/safety.html
https://www.cdc.gov/coronavirus/2019-ncov/vaccines/safety/allergic-reaction.html
https://www.foxnews.com/politics/pence-gets-coronavirus-vaccine