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.