You can change the privacy of your YouTube Live streaming when you log in to YouTube directly with your account. Please open the "Video Manager"

From the menu "LIVE STREAMING" please select "stream now" and scroll down a bit. Here you find basic info about your live streaming setup and you can change the privacy here.

Find out more about YouTube Live Streaming here:
https://support.google.com/youtube/topic/2853712?hl=en&ref_topic=4355169

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