Do u have a picture of the ballast in your X5? There are 3 generations of HID projectors in the X5.
Unless power connector is a 9006 style connector, its proprietary and not avail in normal trade. A good seller will always include such uncommon proprietary connectors or inform that they are not included in advance.
The 330 BMW Bi-Xenon exist in two verisons: Bosch and ZKW brand. For the Bosch projector bulb holder: Look at