WOC Advice

When someone says you're a black person does it offend you? I know that may sound silly, but I had seen a Facebook argument over this earlier and it was a very ugly argument. I've never thought of it to be offensive, and it's bothering me now to think I may have used it to describe a person of color and it offended them! 
Please no rude comments, as I am not  trying to start an argument, but trying to learn. 

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