we still do not know who the COC actually was/is his race and gender are still unknown and the only choices we know he/she took were doing the MQ and becoming Sheogorath.
Sheogorath is a daedra and so does not have a set gender, Boethiah for example is a guy in the first 4 games, but a women in Skyrim.
because it makes a very important choice non-canon
When have they brought up something in a book that makes certain choices from another game in the series non-canon. The only one is the one about the Dragon-break, where they opted for a "time broke and all but 2 (Where tamriel was destroyed) happened at the same time despite them being incompatible"
as for other DLC, the only one that is known to be completed are the morrowind ones and Shivering isles, Which only have 1 ending and the choices possible during them are never brought up, ONLY the endings are brought up, which can fit ANY kind of character really. Knights of the nine is never brought up at all, the only known thing is the fall of the group, which could have happened regardless of the quest being done.