The initial disclosure by Rapp was public. It was disclosed via a Buzzfeed interview. Spacey chose to respond the same way Rapp did: Publicly.
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That is actually logical, reasonable, and makes common sense. 
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And if you are referring to Cam Newton's "public" apology to the female reporter when Cam commented "It is funny to hear a question about 'routes' from a female"......you are mistaken or confused about that also.
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The initial question was very public. Cam's initial response was very public. The NFL's response was very public. So Cam's apology had to be very public as well.
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Note: I always have taken issue with the "Blatantly Sexist NFL" (that has plenty of good-looking female cheerleaders but nary one single female head coach or coordinator) throwing Cam "under the bus" the way the NFL did. Cam may have had a "speck" in his eye.....but the NFL has an entire forest of trees sticking in their's....and the NFL still does.