Alcott is one of Britain's best medal hopes at the next Winter Olympics, which are being held in Vancouver, Canada, in February 2010.
She genuinely believes she can become Britain's first alpine skiing gold medallist.
At the 2006 Winter Olympics in Turin, Alcott finished 11th in the downhill, only half a second off a medal.
She added: "The injury is is a bit of a step back for me but as long as I can keep my world ranking and consistently get top 10s next season, then I will be in a position to win in Whistler at the next Olympics."
Mark Tilston, Alcott's coach, said he believed she would use her confidence and strengths to battle back to full fitness.
He told BBC Sport: "It is very frustrating for Chemmy to be injured at this stage especially after she had such a good start to the season in Soelden, achieving a personal best in GS.
"She has worked tremendously hard through the summer and made significant physical and technical advances which have also had a very positive impact on her confidence.
"Although being injured at this stage of her preparation is very frustrating, Chemmy will be able to use her confidence and strengths to be fully committed to her rehab and her return to snow."
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