Final answer:
The priest-parishioner relationship was not considered privileged under common law, unlike attorney-client, physician-patient, and husband-wife relationships, which are protected to maintain trust and confidentiality.
Step-by-step explanation:
Under common law, the relationship that was not considered privileged is d) Priest-parishioner. The relationships that are recognized as privileged under common law include attorney-client, physician-patient, and husband-wife. These privileged relationships are designed to protect sensitive information from being disclosed in a legal setting unless the privilege is waived by the person who holds it. The concept of privilege in these contexts is founded on the idea that certain relationships require a high degree of trust and confidentiality to be effective.