You are asking about seeing an "out-of-network behavioral health clinician"
The clinician's degree is: Clinical Psychologist (Psy.D.)
The clinician's fee is: $200
The typical procedural code (CPT code) for psychotherapy is: 90834 (Individual Psychotherapy)
Insurance Company X decides that the value of a session of individual psychotherapy is $100. (This is called the "allowable amount".) The insurance company's reimbursement rate calculations will therefore be based on this number.
Any remainder owed to the clinician over that amount is the sole responsibility of the client (in this example, $100).
If you have a co-insurance responsibility of 20%, Insurance Company X will tell you that you will owe the clinician $20 (20% of $100).
The final cost to you will be $120: $20 (co-insurance), plus $100 (the part of the fee that Insurance Company X does not recognize).
Of the $200 fee, you would receive reimbursement from Insurance Company X for $80.