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"I want to thank each and every one of you for your thoughts and prayers during this difficult time," the Oscar winner, 27, wrote on her MySpace Celebrity blog under the heading, "Thank You All."
Hudson, who has been seeking refuge at the Trump International Hotel & Tower since her mother, brother and nephew were slain in Chicago, added, "My sister and I take great comfort and strength from your love and concern."
And, in true star form, the show will go on. Hudson recently gave her blessing to a scheduled appearance in Gap's seasonal ad campaign, according to E! Online.
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