Cheness Nakago

I recently inspected the nakago of a recent blade acquisition and I was a little disappointed in what I saw. The nakago appeared to have been damaged in the assembly process and I think the remainder may be embedded in the end of the tsuka. The total length of the nakago is about seven and a half to eight inches and ends in a jagged break. I'm not sure if it's ok for any cutting as the blade is thirty three inches long, which really is disappointing since I really do like the blade. So, what do you think? Is a seven and a half inch nakago acceptable on a thirty three inch blade with a twelve in tsuka? Feel free to share.

-Enjoy