Xbox Adaptive Controller and microsoft wireless controller

Is this an Xbox One controller, or an Xbox 360 controller? If it's an Xbox One controller, are you connecting wirelessly to the PC via Bluetooth, or with the Xbox Wireless Adapter?

Xbox one controller with an xbox wireless adapter

It's the Microsoft adapter:

https://www.xbox.com/en-US/xbox-one/accessories/adapters/wireless-adapter-windows

Observe how the copy says:

With the new and improved Xbox Wireless Adapter for Windows 10, you can play your favorite PC games using any Xbox Wireless Controller.

Note that it says any XBox Wireless controller. If it only works for XBox One controllers, that is, at the very least, misleading.

It appears that I will have to avail myself of the "hassle-free returns" policy.

It is recommended to use Microsoft Wired Keyboard, as wireless adapter for keyboard will interfere with Xbox One's internal wireless adapter for Controllers or WiFi, and Xbox One does not have drivers for keyboard wireless dongle.

Because Xbox controllers use a proprietary wireless technology known as Xbox Wireless. As such you can't use any adapter to connect the controller, it has to be the Xbox Wireless adapter specifically.

If you're having any of the following problems with your Xbox wireless controller, please see the Xbox
Wireless Controller Solution. If you’re having trouble with one of your Xbox wireless controllers, this solution can help you troubleshoot a wide variety of controller issues. We can also help you replace a broken controller if none of these solutions
correct the problem.

• The controller isn't functioning correctly.
• The controller won't connect to your console or PC.
• You can't update the controller.

For help troubleshooting problems with an Xbox Adaptive Controller, see the troubleshooting section of All
about the Xbox Adaptive Controller.
Learn more