Eve Muirhead's all-Scottish rink had suffered two defeats in their first three matches with their 9-6 loss to highly-rated Canada on Wednesday.
Two down after the first end against China, GB levelled immediately and forged ahead before they were pegged back 7-7 in the ninth, but Muirhead took advantage of the hammer in the final end to grab the game-winning point with her final stone.
Muirhead's winning draw shot was redemption of sorts for the last-end gamble that did not come off against Canada.
Knowing that a relatively easy two points would have tied the game but passed the hammer to her still unbeaten opponents for the extra end, she went for a winning three-point shot only to come unstuck, ultimately losing 9-6.
"I guess that is what the skip has to do. I have to make the decisions and I definitely wouldn't have gone for the shot if I didn't think it was there," Muirhead said.
"I know a lot of people have different opinions, some think I should have taken the two and gone for an extra end.
"I am just really glad we came back with a strong performance and I am really glad I managed to play a great shot to finish this game.
"At the start of the game, if I had been asked if I would have liked to have been all square with the hammer against China (in the 10th end), I would have grabbed it.
"Vicki (Adams) opened up that last end and left me with a draw, which, as a skip, is a routine shot.
"The sweepers looked after it really well, Anna (Sloan) called the line great and it was a real team effort out there.
"That's what we practise day-in, day-out. We practise twice a day for a few hours to make that one shot.
"You don't get any second chances at the Olympic Games, so you have to take full advantage of it.
"So I am really pleased with that. It was a really solid performance and hopefully we can continue that for the rest of the week."
Muirhead and her team mates, however, will remain oblivious to what is being said about their performances on social media as they continue their self-imposed ban during the Games.
She said: "I just don't quite know what to do when I pick up my phone. I have no Twitter or Facebook to click on.
"It hasn't made an awful lot of difference but it kind of takes our eyes off our phones a little bit.
"You probably don't want to know a lot of the stuff a lot of people at home are saying, so it is fine.
"I am not missing it too much and I am sure when the competition is over we will be on it for a few hours."