Speaking on Jimmy Kimmel, Live, she added: "He holds your arm further up, slightly intimate little thing, makes eye contact and then moves on to the next person. I went home, this was in the days of answering machines, I literally thought that I was going to go home to a message from him. Then he looks back at you. I did. It was that real!"
Gillian - who also starred as former Prime Minister Margaret Thatcher in Netflix series The Crown and won an Emmy Award for her portrayal of the formidable politician - also explained that it was "nice" to attend the ceremony in person after being forced to accept her Golden Globe award for the role virtually due to Covid-19.
She added: "That was the first time we were seeing each other again which was nice. For the Golden Globes, I was shooting in Prague and was all alone in a hotel room all dressed up in front of a computer for the entire Golden Globes. But there was a technician who was in the room with me!"