Matt Smith clearly said "The name I chose is The Doctor. The name you choose is like a promise you make. He's the one who broke the promise."
Reminds me of something he said in The Beast Below
"Three options. One, I let the Star Whale continue in unendurable agony for hundreds more years. Two, I kill everyone on this ship. Three, I murder a beautiful, innocent creature as painlessly as I can. And then I find a new name 'cause I won't be The Doctor anymore."