Hi,
I really enjoy this Sony set, and its features.
I've not tried the Bluetooth on the set -- but, what I've been able to find out: only for Bluetooth keyboard and mouse. Thus, not for Bluetooth Audio.
Genuinely, look for WLA-NS7 Wireless TV Adapter
Model: WLA-NS7 (external Bluetooth transmitter)-- plugs into optical out on the set, and be able to use certain Sony Bluetooth Headphone models. Or, Sony - UBP-X800M2 player has a built in Bluetooth transmitter, and certain soundbars have built in Bluetooth transmitters, too.
Nevertheless, if you want Bluetooth Audio transmitter built into the 32inch set: Samsung (QN32Q60A).