"It's hard not to think about it when people keep bringing it up," the actress told reporters backstage after her victory for female actor in a lead movie role at the
FULL COVERAGE: SAG Awards 2015
For Moore, who portrays a woman diagnosed with early onset
"It's been a beautiful ride," Moore continued. "It hasn't even been a year since we finished [the movie]. I'm trying to remain as calm as I can and as present. I'm incredibly grateful for everything."
Moore talked about the four months she spent preparing for the role -- which included Skype calls with people from the National Alzheimer's Assn. who had the same condition as her character. And the reaction from those in the community has, so far, been positive, she said.
"A lot of the feedback from people in these communities was that they finally felt seen," Moore said.