The term 'inner psyche' refers to the spiritual or psychological part of a person's being. It is often used to describe the innermost thoughts and feelings that are not always expressed outwardly. The term can also be used to refer to the subconscious mind, which is the part of the mind that is not always conscious but still influences behavior. The crossword solution for this term is 'SPIRIT, ' which is an appropriate word to describe the inner psyche.