The subject of the modal auxiliary "should" is "womanly pity," i.e., a woman's pity. That sentence means (among other things) that some woman pities Champ and will ensure that he [?champ?] won't feel uncomfortable.
//I THINK this is what the sentence means.//
The girl was to expect Champ to come. = The girl should expect that Champ will come. = The girl should be ready for when Champ comes. If the girl expects Champ (to come), then Champ is expected (to come).
If the man told her that Champ was to be expected, then she is to expect Champ, and so Champ is to be expected.
Since we use back-shifting of tenses for reported speech, if Champ is to be expected, then "The man said that Champ was to be expected"
The man: "Expect Champ." The man said that Champ was to be expected.
He told me that Maria was to be welcomed. = He told me that Maria should be made (to feel) welcome. = He told me, "Maria is to be welcomed".