Placing the prefix "un-" in front of an adjective generally negates the adjective. For example, "unhappy" means "not happy", "uninspiring" means "not inspiring", and "undiscommoded" would mean "not discommoded". Since "discommoded" means "made uncomfortable", "undiscommoded" would mean "not made uncomfortable".
A life "undiscommoded by orphans" would mean a life not made less comfortable by orphans.