Note that most TV's can only receive audio via Bluetooth and not transmit it. Bluetooth features are often limited to accepting audio or control from a mobile device on the TV. Take a close look at whether your TV is being paired as an audio source or a destination.
If you determine you definitely have a TV which acts as a Bluetooth transmitter (for use with Bluetooth headphones, etc.) then this may be possible. The steps would be similar to pairing any other Bluetooth Device to the TV:
Jul 26, 2016