Is this statement correct? She is a very capable black woman?

Remove the word "black" and it's fine. Or simply say, "She's very capable."

The simpler, the better.

=)

The statement "She is a very capable black woman" can be seen as inappropriate or unnecessary. By removing the word "black", the statement becomes more inclusive and avoids potentially singling out someone based on their race. Alternatively, simplifying the statement to "She's very capable" focuses solely on the person's capabilities rather than their race. It is important to promote equal treatment and avoid making unnecessary references to someone's race unless it is specifically relevant to the conversation at hand.