The previously existing thread devoted to this news is here:
Originally Posted by MK's Winter
And yes, it is true that she has withdrawn, per Kostner's official Facebook account:
PRESS RELEASE (Rome, December 12/2013): Carolina will not take part in the Italian National Championships scheduled to take place in Merano from December 19-21. The Italian Champion from the "Fiamme Azzurre" is fighting with recurring physical problems after her Grand Prix assignments this fall which keep her from skating at this competition, even though the event was included in her season schedule. In consultation with the officials of the "Fiamme Azzure", Carolina has decided to withdraw from the competition in Merano while expressing her regrets on not being able to compete at such an important event organized in her home region: a decision that is certainly linked to the preparations for the Olympic Games in Sochi 2014. In spite of her physical condition, Carolina will be attending - alongside with other atheltes from the Fiamme Azzure - an event organized by the CONI on December 18 in Rome, introducing the Italian Oympic team. During her stay in Rome, Carolina intends to undergo the necessary examinations to assert her current physical state.