Once home, he is greeted by reminders of his various familial responsibilities, first and foremost, of course, to his pregnant wife. But Tolstoy can't resist also having Levin get two letters, one about how his crops are doing back on his farm and the other about his sister's business affairs, which he is in charge of. All this is a Tolstoyan reality check: Levin, a married man, about to become a father—Kitty's labor begins that very night—has no business being out keeping company with the likes of Anna. There are other demands on him and her tragedy is not his concern. So much for Levin's compassion! Kitty is convinced that Anna has bewitched him, but the birth of their child reins Levin in. Whatever energies and emotions he can muster should now focus on his son.
All this makes it clear that—at least according to the logic and values of the Levin plot—it was inappropriate for him to pity the likes of Anna Karenina.
How Levin continues Anna's story