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Garcia, who also reached the US Open semifinals last year, said sharing her struggles helped.
Martina said her prognosis is good and she will start treatment this month.
The 25-year-old world No. 9 said players may be reluctant to come out because of the attention that would come with it.
Karman was selected as the winner by a jury comprising fashion heavyweights and celebrities.
While the actual reason for the reported discord is not known, a report by DNA quoting Pakistani media said recently that Malik cheated on the star tennis player.
Garcia, 29, was ranked outside the top 70 in mid-June but has since won four titles, made the semifinals of the US Open and will now rise to a career-high No. 4.
Swiatek had not dropped a set at the season-ending tournament but was subdued by the powerful forehand of the Belarusian.
She outlasted Kasatkina in a 32-point rally for match point.
Maria Sakkari broke twice for a 5-1 cushion en route to capturing the first set, which meant Tunisian world number two Jabeur had no mathematical chance of advancing even if she had rallied back to victory.
Swiatek, who improved to 2-0 in this year's competition following her own 6-3, 6-2 win over Caroline Garcia, goes through as the winner of her group, while Gauff can no longer qualify for the semifinals.