Connect Xbox One controller to PC with Wi-Fi?

I bought an Xbox One Wireless Controller for my PC.
However, I forgot the wireless adapter. But my computer has Wi-Fi. Is there a way that I can still play wirelessly on the PC?

In Windows 10 (I have Win10 64bit Pro) I have the controller searched for among the devices as described on the Microsoft page. I was able to find all my devices except the controller. This also flashes quickly as correctly described in the instructions.

I also connected my controller via USB. The controller works easily via USB. But since my computer is on the TV and the TV is 4-5 meters away, I don't want to buy such a long cable or let someone trip over it.

Do you have an idea or do I have to buy the adapter?

Yes after you simply via Bluetooth

"just do it"
why don't you reread your sentence before you send it off?

This is not possible via Wi-Fi. Bluetooth works. If your PC doesn't have a Bluetooth receiver, it looks bad.

Thank you! With Bluetooth it works!

Thank you, I didn't know or better read that the Xbox One controllers also have Bluetooth!