Despite winning three games in succession at the Ice Cube Curling Centre, Neilson found herself in trouble as Britain fell 8-1 behind at the halfway stage of their first match yesterday, against Finland.
Skip Neilson was even replaced by alternate Angie Malone, a veteran of the silver-medal winning British team at Turin in 2006, for the remainder, as the Fins gained their first win of the tournament with a 13-4 victory.
However, Britain, with Neilson back as skip, went on to beat Norway 7-3. Consecutive steals in ends four and five gave Britain a 4-1 advantage.
A two in the sixth had Norway only one behind at 4-3 but Britain scored three on the next end thanks to a fantastic takeout from Neilson and Norway had no answer.
Britain are third in the standings with four wins and two defeats and three round-robin matches remaining. Neilson said: "We were delighted to get the win against Norway. After our morning game, we had to dig deep."
At the Rosa Khutor Alpine Centre, heavy fog and rain led to the postponement of the morning's Super-G phase of the men's and women's super combined. The action began in the afternoon with the slalom aspect first instead.
Briton's Jade Etherington and guide Caroline Powell produced a solid run to lie second overall in the visually impaired race. The super-combined will now be completed on Friday, with Etherington and Powell needing only to finish to win their third medal as only three pairs remain.
Britain's newly-crowned first Paralympic champions Kelly Gallagher and guide Charlotte Evans crashed out of that race while the seated skiers Anna Turney and Mick Brennan are fifth and ninth.
The women's slalom has been brought forward from Friday to today with both Gallagher and Evans and Etherington and Powell competing.
n Sainsbury's is a proud long-term supporter of the British Paralympic Association and a champion of inclusive sport for all. For more information on Sainsbury's commitment to inclusive sport visit: www.Sainsburys.co.uk/activekids