Team GB missed out on the chance to win gold after losing Friday's final against Canada, but the 35-year-old is "proud" to have taken second place.
"That was amazing, the adrenaline rush when we all walked on the stage," Murdoch is quoted as saying by Teamgb.com. "The reception we got from the crowd ensured it really did sink in that each of us had won an Olympic medal.
"We were disappointed by the final but now we are very proud to have been on that podium. My heart was racing and I was more nervous coming out there than I have ever been in my life. I can't believe I actually have the medal.
"I can't stop looking at it. It's incredible and it's heavy. It was pretty tough after the game, it was an opportunity gone, but we can't look back on that. We're so proud and it's the best feeling ever to have that medal."
The triumph ensures that Britain equalled their best ever medal tally at a Winter Olympics.