Other mistake: After Mr. Tebbs finishes telling his story about selling seven toilets in one day, Mr. Lucas makes a wisecrack and Mr. Humphries says "I think it's the way Mr. Tebb [instead of 'Tebbs'] tells it."
Continuity mistake: Normally the windows in Mr Rumbold's office are latch swing open style, but when the staff are viewing the parade they are plainer push up windows.
Answer: In minstrel shows there was also a stereotype of black men preying on white women, so that's probably why she was not in black face. Also, Mrs. Slocombe is in blackface because she is an older, stout woman and she fits the "mammy" stereotype.