No. Some people may avoid EMDR because they do not want to talk about their trauma in detail or fear that they will be judged or blamed for it. However, this is not true. EMDR does not require the client to verbalize their trauma in detail or to share anything that they are not comfortable with. The therapist will only ask the client to share enough information to identify a target memory and to assess its impact on them.
EMDR is a therapy that allows the client to process their trauma in their own way and at their own pace. The therapist is there to support and facilitate the process, not to interrogate or judge the client.