Sadly, the Master also identifies him as half-human. But the film really strongly implies that Time Lords have weird snake eyes, like the Master does in that film. The Master identifies the Doctor as human because of his eyes, and, for some reason, only eyes with a human appearance can open the Eye of Harmony. It doesn’t work if they’re covered by weird black oil stuff. So… yeah, that film seemed to decide that Time Lords weren’t supposed to have human eyes.
Towards the end of the fourth season, the Doctor said that a half human/half Time Lord hybrid couldn’t exist. Hence the whole… Donna thing. So I think the official canon status of the whole half human thing is for canon to plug its ears and go “LA LA LA, I CAN’T HEAR YOU!”