The Doctor and River Song's love story is streached across many galaxies and time periods. No one could doubt that these two love each other. After a day of whirling through time and space, a letter comes for River, and the Doctor had to reveal his biggest secret to her - that she will die on the mission, and he won't know her at all.
He begs, weedles, and pleads with her to let him come with her. "No," she says. "A younger you will be there. You could litterally rip time apart." He'd rip time apart to save the woman he loves. Cue puppy-dog eyes.
River Song leaves for the mission, without her Doctor. But he loves her, and he won't let her go to her death alone. So he... sneaks along.
The Doctor is prepared to litterally rip time and space apart, just to save a woman - River Song, the love of his life.