Glenn Close weighs in on getting snubbed despite eight Oscar nominations By Glenn Close’s distinguished career was honoured with eight Oscar nods, however, sans any wins. The three times Emmy winner and recipient of Golden Globe and Tony Awards recently shed light on being snubbed at the Oscars repeatedly. “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. The actress par excellense said she was delighted to be a part of the Academy Awards 2021 after a year of remaining housebound, “It was wonderful. I mean, they were very strict.”