There is no Bluetooth icon in device manager, even when showing hidden devices, but I used to use my Bluetooth headphones on this PC.running Windows 10 with latest updates.
If Bluetooth Devices item is not present or it has disappeared from Device Manager or Control Panel, you definitely can't connect your wireless device through Bluetooth to computer. The main causes of this issue are as follows: Bluetooth driver is outdated, missing or corrupted. Try to reinstall your Bluetooth driver and your Bluetooth headphones are working perfectly because your headphone drivers are install perfectly.
Hope this helps!