I also looked at the 4 vs 5 primary "fingers" bit Daniel, though didn't feel I was as certain I was interpreting it correctly. I do think I see 4 vs 5, which again points at BwH.
I would say that the wing structure of DT Kite is really different with shorter outer primaries and a secondary bulge that gives a classic "paddle" shape to the wings. Many other neotropical raptors that are more forest based such as Hook-billed Kite, Gray-headed Kite, the Hawk-Eagles, Black-and-Chestnut Eagle have similar paddle shaped wings that really look quite different, in my opinion. As well, DT Kite has a really small head that, to me, always looks cylindrical and kind of neckless.