Right Pattern to internal and external Services exposed

Im building a service (rest services) that make an internal call to database and then make one external web services call. This services is available to internal request and is exposed to external clients calls, My doubt is if i can name this service a Facade or a Gataway. I did read about Gateway and Facade patterns, one is when a customer is an external application and other is to internal application, so i dont found nothing about services patterns with both kind of calls.