Should Aaron Rodgers Played in Loss to Bills?

Pittsburgh Steelers quarterback Aaron Rodgers was clearly compromised on Sunday in a 26-7 loss to the Buffalo Bills. Rodgers was still feeling the effects of the broken left wrist that had kept him out of the Steelers' previous game, a loss to the Chicago Bears. Rodgers could not take snaps against the Bills, and the Steelers had to run all shotgun and pistol formations. Rodgers completed 10 of 21 passes for 117 yards. Should Rodgers have taken more time to recover than playing against the Bills?