The new laic order is principled (7)
I believe the answer is:
ethical
'principled' is the definition.
(I've seen this before)
'the new laic order' is the wordplay.
'new' indicates an anagram.
'order' indicates an anagram.
'the' with letters rearranged gives 'eth'.
'laic' is an anagram of 'ical'.
'eth'+'ical'='ETHICAL'
'is' acts as a link.
(Other definitions for ethical that I've seen before include "Morally good or correct" , "Moral, honest" , "not advertised to the general public" , "Morally acceptable" , "Morally correct, in accordance with professional standards" .)