Hi @Xandra,
You may have used Zoom "Webinar" in the past. This is where "Attendees" do not see each other listed in any way, but the "Panelists" do see themselves AND also the Attendees listed.
Zoom "Meeting", on the other hand, does not have this distinction. In a "Meeting" everyone is a "Participant" and Participants can always see the Participant list.
If you are on a Paid account in Zoom, you could live stream your event to an external platform like YouTube - as a private or unlisted stream - and have people watch there. Or you could use Vimeo if you need more security and control.
The Zoom Meeting itself would show that the meeting is being streamed, but not the names of anyone watching.
Does you audience need to watch live? Otherwise you could just record the event and offer it for playback later.
Hope this helps.
Rupert
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hybridevent.pro