Glenn Close sheds light on not bagging an Oscar despite eight nominations Entertainment Glenn Close said she was delighted to be a part of the Academy Awards 2021 Glenn Close refuses to think she is missing out on anything after Academy Awards snubbed her for the eighth time. The three times Emmy winner and recipient of Golden Globe and Tony Awards revealed she always looks at the bright side. “I don’t think I’m a loser," the Fatal Attraction star said. Glenn has been nominated for Best Actress Award four times, as well as the Best Supporting Actress Award four times.