Imo. D
Often attractive and charming, and always inordinately self-confident, people which suffer from antisocial personality disorder demonstrate a disturbing emotional shallowness.
Meaning: People, often attractive and charming, and always inordinately self-confident, that suffer from APD demonstrate a disturbing emotional shallowness
A. people which suffer from - Relative pronoun; which is never used for human beings.
B. people are suffering from - Tense error which leads change in the meaning.
C. people that suffer from - that can be used for things and human beings based on context of the sentence. Here, that refers to those people who have x, y and z characteristics, (Often attractive and charming, and always inordinately self-confident). As people is plural, relative pronoun must be plural, i.e. those. However, such construction seems awkward.
D. people who suffer from - This option can also be considered if C is not available. According to me, who is used with specific name of person or group. However, this option is logically correct though grammatically sounds incorrect. So, hold it.
E. people suffer from - Specific group to general group case, which changes the meaning of the sentence. Hence, usage of relative pronoun is required.