On July 14, 2020, Flynn was defeated in his re-election attempt by Bryan Slaton by a 22-point margin in the Republican primary runoff.

After his reelection, Flynn called once again to permit public school teachers in the state the option of displaying the Ten Commandments in their classrooms.

"[5] On July 14, 2020, Flynn was defeated in his re-election attempt by Bryan Slaton by a 22-point margin in the Republican primary runoff.

[7] Late in 2010, Representative Bryan Hughes of Mineola in Wood County, claimed that Larry Phillips, a lawmaker from Sherman, told Hughes that Dan Flynn and Erwin Cain, the newly elected conservative representative from Sulphur Springs, would be adversely redistricted for the 2012 elections because they had declined to commit to the second-term reelection of Speaker Joe Straus, a Moderate Republican from San Antonio.

In a hearing before the House Ethics Committee, chaired by another East Texas representative, Chuck Hopson of Jacksonville, an ally of Speaker Straus, Phillips denied having made such a claim to Hughes.