8x14 is the minimum size for this style from both the books I have read by T. Woods on the subject.
I really want to build one for DM.
I wonder if I can get her to spring for the extra cost.
I just checked the book on this. The Woods house can be a small colony house 8x12 feet, 8x14, and 10x16 feet. He said that it should not be made smaller than 8x12 (96 sq ft)
Please see Prince Woods 1924 Edition Chapter VIII Page 115. Several topics are covered including "Small Size Woods House 6' by 10' for Small Flocks and Brooder".
If one builds the Woods KD style using the design as contained in the book (Chapter III, Page 37), specifically does NOT use modern stick framing, it is a very economical and simple construct. I built my 10' by 16' for under $1,000 3 years ago, less than a conventional coop of the same size.