Which of the following terms refers to a member of a religious order who has taken vows but is not ordained?

The term that refers to a member of a religious order who has taken vows but is not ordained is "Brother." In many religious traditions, particularly within Christianity, a Brother is a male member of a religious order who has committed to living according to the community's rules and values but has not received the sacrament of Holy Orders, which is what ordination involves.

This distinction is important because it emphasizes the difference between lay members of a religious community and those who have been ordained to perform specific sacraments and duties, such as priests or bishops.

While "Sister" also refers to a female member of a religious order who may have taken similar vows, the question specifically asks for a male counterpart, making "Brother" the correct choice. "Novice" refers to someone who is in the early stages of joining a religious order and has not yet taken permanent vows, and "Clergyman" generally indicates a fully ordained minister, which does not align with the criteria outlined in the question.