Per the Texas Department of Health and Human Services:
“Safety is a top priority while federal partners work to make COVID-19 vaccines available. The new COVID-19 vaccines have been evaluated in tens of thousands of volunteers during clinical trials. The vaccines are only authorized for use if they are found to be safe.
Even though they found no safety issues during the clinical trials, CDC and other federal partners will continue to monitor the new vaccines. They watch out for serious side effects (or “adverse events”) using vaccine safety monitoring systems, like the new V-safe After Vaccination Health Checker app.
For the most up-to-date information, see the Vaccine Safety section of the CDC website.
To learn about CDC’s new vaccine safety monitoring system, see the V-safe After Vaccination Health Checker section of the CDC website.”