why does airplay not work on apple radio

Hello and welcome to Apple Support Communities, rocketo625!

We understand you are having trouble playing Apple Music Radio through AirPlay to your Bluetooth stereo speakers. We'd be happy to provide information to help you address this.

Please start with verifying your speakers meet the AirPlay 2 requirements: AirPlay 2 system requirements - Apple Support

Also, do you have another device such as an iPhone, iPad, or iPod Touch that can play that station and AirPlay to your stereo? Can you test if it will AirPlay to an Apple TV or HomePod?

It may also be beneficial to see if it will play out to your stereo if you try from a newly created unmodified test administrator user account: Set up users, guests, and groups on Mac - Apple Support

Let us know the results. Have a great day!

Thank you for the additional information about this issue.

We want to make sure you reach the right team for help with your device. We recommend that you contact Apple Support directly. Depending on your region, you may be able to reach them here: Get Support