At first I was unhappy that Moffat wrote over First Night/Last Night to say that Eleven didn’t really take River to Darillium…
But then I realized, this fits perfectly with Eleven’s character!
This is the man who used his own regeneration energy to heal his wife’s hand when she broke it escaping from a weeping angel (TATM). OF COURSE he wouldn’t be able to take her to Darillium, knowing that it’s the last place he saw her before the Library. River’s assertion that the Doctor is not sentimental enough to care about her could not be more wrong. Eleven is sentimental enough that he cancelled every time he tried to take River to the towers because he just couldn’t face the fact that his wife was about to go to her death.
You know what I find interesting? When River gives that heartbreaking speech about how she believes (at this point in her life) that the Doctor has never loved her,
“If I happen to find myself in danger, let me tell you, the Doctor is not stupid enough, or sentimental enough, and he is certainly not in love enough to find himself standing in it with me.”
The very words she uses to describe what the Doctor would never be, are the exact words she used to describe him after he healed her wrist in TATM.
“That was a stupid waste of regeneration energy. Nothing is gained by you being a sentimental idiot.”
And this is after she admits that loving him hurts her,
“When one’s in love with an ageless god, who insists on the face of a 12-year-old, one does one’s best to hide the damage.”
So his response? Healing her wrist. If anything, his actions in that scene, as a response to her declaration of love, are his declaration of love, even though River doesn’t see it that way. Her calling his actions “stupid,” and him “sentimental,” ironically seem to corroborate the fact that he DOES love her.