latitudinarian

from The American Heritage® Dictionary of the English Language, 5th Edition.

• adjective Holding or expressing broad or tolerant views, especially in religious matters.
• noun A member of a group of Anglican Christians active from the 17th through the 19th century who were opposed to dogmatic positions of the Church of England and allowed reason to inform theological interpretation and judgment.

from The Century Dictionary.

• Embracing a wide circle or range; having free scope; not conforming to a strict code of morals; roving; libertine.
• Characterized by latitude or independence of thought, or by forbearance from strict insistence upon the usual standards of belief or opinion; especially, not rigidly strict in religious principles or views; tolerant of free-thinking or heresy: as, latitudinarian opinions or doctrines.
• noun In. Eng. church hist., one of a school of Episcopal divines who in the seventeenth century strove to unito the dissenters with the Episcopal Church by insisting only on those doctrines which were held in common by both, and who, while they maintained the wisdom of the episcopal form of government and ritual, denied their divine origin and authority.
• noun Hence, in later times, one who regards with comparative indifference specific creeds, methods of church government, and forms of public worship: generally used opprobriously.

from the GNU version of the Collaborative International Dictionary of English.

• adjective Not restrained; not confined by precise limits.
• adjective Indifferent to a strict application of any standard of belief or opinion; hence, deviating more or less widely from such standard; lax in doctrine
• adjective Lax in moral or religious principles.
• noun One who is moderate in his notions, or not restrained by precise settled limits in opinion; one who indulges freedom in thinking.
• noun (Eng. Eccl. Hist.) A member of the Church of England, in the time of Charles II., who adopted more liberal notions in respect to the authority, government, and doctrines of the church than generally prevailed.
• noun (Theol.) One who departs in opinion from the strict principles of orthodoxy.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• adjective Tolerant, especially of other people's religious views.
• noun A person who is tolerant of others' religious views.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• adjective unwilling to accept authority or dogma (especially in religion)
• noun a person who is broad-minded and tolerant (especially in standards of religious belief and conduct)