There are some inexpensive analog-to-Bluetooth transmitters available but I think you’ll find that Bluetooth introduces too much latency. Bluetooth 5.0 adds about 40ms.
I use the XVive U4 Monitor Wireless System, it is only mono but works perfect without latency, and is rather cheap. If you use wireless connection for the guitar (in my case also from XVive) you may have to use a extension cable to avoid interferences.
The Yamaha YH-WL500 is designed for wireless instrument playing.
Implementing very low latency wireless technology (not Bluetooth) makes that possible. It works perfectly.
Bluetooth, however, is not capable of it at all.
Would recommend not getting Bluetooth wireless. Their latency makes it unusable for any music/studio related applications. Price will be more expensive if you want the wireless to be in stereo. Realistically it’ll be a few hundred to get anything remotely useable or worthwhile. Otherwise a normal cable is the easiest and cheapest option.
As mentioned above, the Bluetooth 5 latency will make it virtually impossible to play because it’ll be around 40ms at the very least. The TMA-2 headphones would be your best bet since they don’t actually use Bluetooth. It’s a proprietary wireless connection that makes the latency lower, and they have a 2.4ghz mode as well.
The xvive option someone mentioned will be more useful…..but the unit will be in mono.
Wireless stuff is super tricky, expensive, and the sound quality will usually be weird unless you’re trying to get a 1k+ unit.
The base station (charging & transmission) is connected via cable to the QC, the headphone is wireless. Two connections are simultaneously possible - to the base station and to another bluetooth device. Product site.