Katie Couric to Kim Kardashian — I’m Sawwwy … I Don’t Hate Your Family

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Katie Couric insists her baby gift to Kim Kardashian and Kanye West was not a fake Hollywood gesture — and says her comments about Kim”s family were taken out of context.

Kim put Katie on blast today when she Instagrammed a pic of Katie”s gift and card with the hashtag #IHateFakeMediaFriends.

Kim was pissed because Katie recently said in an interview that she didn”t understand why the Kardashians are famous.

Now Katie”s explaining the comment, saying … “I”ve met Kim before and I think she”s a really sweet person.  I was responding to a reporter”s question, and explaining how I”m intrigued by the public”s fascination with her family.”

She added, “I didn’t mean to hurt her feelings.”

As for the gift, Katie says … “The gift is genuine, and I”m happy for Kim and Kanye.”

We”re guessing Katie can still expect something in the mail.