The Doctor doesn't reply or look at Eve about 'luck'. Because he knows he should have died. He was at the center of the explosion because he was the one who pressed the button. Why was he allowed to continue on? A part of him still doesn't believe that he deserved to have; go on. There's a look of immese guilt on his face. However, her trembling keeps him grounded, and gently pats her back.
CW: for suicidal thoughts and implied genocide
"Gallifrey."