*raises hand* David Tennant is right, his name is "The Doctor", but it's not wrong to call him "Doctor Who". Doctors One through Nine are called "DOCTOR WHO" in the credits! In fact, other former Doctors refer to him as "Doctor Who".
The Story Behind This “Doctor Who” Scene Will Make You Tear Up. OH gosh, feels. SO many feels. Wilfred is my favorite, and this just.<<< I love when shows give a story in depth, it makes it feel all the more real, gahhhh.
But remember the Doctor's face in this scene. He is not overjoyed at the reunion. He is shocked at what his companions have become. Martha Jones, willing to destroy her race to save the Universe, just like the Doctor. And Rose Tyler, cheering it on.