Some viewers said Davis was overly pursing her lips, with many complaining her facial expressions were distracting and insulting.
Speaking to BBC News, Davis said it is "incredibly hurtful when people say negative things about your work".
Criticism, she acknowledged, was an "occupational hazard" of acting.
"How do you move on from the hurt, from failure?" the 56-year-old asked. "But you have to. Not everything is going to be an awards-worthy performance."
