Gov. Abbott says Texas teachers should be given priority to COVID-19 vaccine Gov. Greg Abbott believes Texas teachers should be given priority when it comes to getting vaccinated. DALLAS - Gov. Greg Abbott believes Texas teachers should be given priority when it comes to getting vaccinated. It's something the superintendents of DFW's largest school districts want. And they had sent a letter to the state asking for teachers to be prioritized. Gov. Abbott is voicing his support for teachers to be near the front of the line to get the COVID-19 vaccine as frontline workers. Earlier this month, the Texas Urban Council of Superintendents urged the governor to advocate for teachers when it comes to deciding who can get the vaccine first.