In order to exclude payments in the Nightly Process until you have received updated card information, you will want to edit the recurring gift's payment method.
  1. Navigate to the affected constituents recurring gift
  2. In the Transaction Summary Box > Select Edit next to Payment Method: Credit Card - automatic
  3. In the Payment Method drop down > Change the method from Credit card - pay installments automatically to none
  4. Save
When you receive the updated credit card information, you will want to go back in to the Recurring Gift and change the payment method back to: Credit Card - automatic and update their card information.