なくて済む/ないで済む => get by without doing ~ N2
[後「あと」]で => After V1, V2 N5
Time
て済む => sufficient by; no problem to; resolve by ~ N3
〜がさいご(が最後) => if you do... negative result N1
Decisive (resolute decision)
むき => facing towards N3
Direction
むしろ => rather; instead N2
Compare
...はむりだ... => impossible N4
Description
込む => to be crowded N3
たが[最後「さいご」] => Once A occurs, B happens N1
Information, Report
ておられる => ( Honorifics) N3
Respectful, humble
ずに済む => get by without doing ~ N2
むきもある => There are people… N3
Of course