Schedule someone else as the host that I have scheduling privileges for in Google Calendar

I am trying to schedule meetings on my employer's Google Calendar. Whenever I try to schedule a Zoom call, it shows me as the host, she cannot join unless I start the meeting.  I don't want to be the host, I need them to be. If I go back and add her as an alternative host on the zoom website after I create the meeting it creates a new events and sends it out to everyone again. How can I fix this so that I can schedule her as the host? I have scheduling privileges, though on my google zoom add on she doesn't show up on the side bar, it only has my name and email.