Synonyms of well-established

1 Syllable

right, pious, straight, sound, true

2 Syllables

correct, die-hard, deep-down, deep-dyed, devout, old-line, rightful, square, standard, proper

3 Syllables

religious, conformist, orthodox, received, punctilious, sanctioned, approved, official, admitted, age-old, doctrinal

4 Syllables

dyed-in-the-wool, customary, acknowledged, conventional, buttoned-down, reactionary, unmannered, established, recognized, canonical

5 Syllables

legitimate, conservative

6 Syllables

authoritative, traditionalistic