latitudinarian (lat-i-TOOD-n-ar-ee-uhn, -TYOOD-) adjective
Holding broad and tolerant views, especially on matters of religion.
One who is broadminded and tolerant, especially concerning religion.
[From Latin latitudin-, stem of latitudo (breadth), from latus (broad).]
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"[Lord Cornbury's] Whig rivals were more libertarian in their politics and tended to be more latitudinarian in their religion and morals." Alan Taylor; Devil in a Blue Dress; The New Republic (Washington, DC); Aug 3, 1998.