Contemporary psychodynamic theorists are most likely to emphasize the importance of:

inner conflicts

Explanation:

Inner conflicts: In psychology, the term inner conflicts play a major role in the psychodynamic approach led by the different contemporary theorists. The inner conflicts are described as an individual's or client's repressed emotions or behaviors surfaces into the consciousness or his or her conscious awareness and therefore, the person's conflict is subconscious.

In other words, the inner conflicts are referred to as psychological trouble in which an individual finds oneself in a situation of difficulty while making a personal decision. In the inner conflict the person struggles mentally that arises from the opposing impulses or demands.

In the question above, the statement signifies the inner conflicts.