The correct answer is A) client-centered therapist.
The therapist who would seem least threatening to her is most likely a client-centered therapist.
The problem with Deepa is that she has a personality issue. She did not like to be in public. She is very shy and finds it almost impossible to talk to people she does not know. She feels threatened in with strangers. She is afraid that people will criticize her, so she avoids interacting with them.
The kind of therapist she needs is a client-centered therapist that shows respect for her condition, that could be very open and amicable to make her feel secure enough to share her feelings. The therapist has to show its experiencing by questioning her in such a way that she doesn't feel interrogated. The therapist must establish the proper conditions to invite Deepa to feel comfortable enough to express herself.
The other answers of the question were B) rational-emotive therapist, C) psychoanalyst, and D) cognitive-behavioral therapist.