Ms Mills quit the British Disabled Ski Team
after she was told by the head of the IPC, Sylvana Mestre, that she had to change her ski boot to comply with rules.
The British Paralympic Association and British Disabled Ski Team
said: "We are saddened she has decided to retire, rather than working with us to resolve this."
Now a full member of the British disabled ski team
's elite squad and ranked at number 28 in the world, Ms Mills, a prolific charity campaigner, has made no secret of her desire to compete at the highest level in the 2014 winter games in Sochi, Russia.
She has been racing for the British Disabled Ski team
for five years and will be taking part in four Europa Cup races in Switzerland as she bids to reach the Paralympic selection criteria set by Paralympics GB and the British Team.
The former wife of Sir Paul McCartney, originally from Washington, took first place at the Austria Cup Super G Ski Speed Race at Innerkrems, competing for the British disabled ski team
The former model, who lost a leg in a traffic accident in 1993, clinched first place for the British disabled ski team
at the Austria Cup Super G Ski Speed Race at Innerkrems.
Martin joined the British Disabled Ski team
two years ago and it was while he was racing with them that he heard about plans for the North Pole trek.
Undeterred the former soldier, whose family come from Huyton, is determined to raise money for the military charities that helped to rehabilitate him and become a member of the British Disabled Ski team
, representing team GB at the Winter Olympics in 2014.
"She has made clear her ambition to represent Great Britain in adaptive ski racing and approached the British disabled ski team
to try out for our development squad.
Now he and other members of the British Disabled Ski Team
plan a sponsored hand-bike ride in Scotland from Ben Nevis to the Cairngorms.
Jane, who is part of the British Disabled Ski Team
, has chosen the Ford S-MAX to help her complete training for the Winter Paralympics in Vancouver next March.
British Disabled Ski Team
manager Dave Chugg said: "A fantastic result in such a strong field shows the potential the team has, and the world-class results they can achieve when they have the correct level of support."