Final answer:
In psychoanalytic theory, Inge is likely using the defense mechanism of repression to unconsciously block out her traumatic experience of sexual abuse.
Step-by-step explanation:
According to psychoanalytic theory, the defense mechanism most likely being used by Inge, who feels uncomfortable around her uncle due to a history of sexual abuse that she cannot consciously recall, is repression. Repression involves unconsciously blocking out painful or traumatic experiences. This can lead to forgetfulness or a lack of conscious awareness regarding the distressing events. It is a way for the ego to protect the individual from the anxiety that would result from recalling these memories.