TraceTogether uses Bluetooth to perform handshakes with other TraceTogether phones. Your Bluetooth-enabled phone is capable of connecting to multiple Bluetooth devices simultaneously, e.g. smartwatch and wireless headphones. The different connections are separate and should not be affected by or affect TraceTogether.
If you’re experiencing interference when using your Bluetooth device, you can use the “Pause TraceTogether” feature on the home screen (currently only for Android).
If you have more questions on this, please contact firstname.lastname@example.org.