I have no idea how to get the idol to host their own show. Can someone help me?

When creating a new show (internet, radio, tv), select "Permanent cast" and pick her as one of the members.

The task will be completed when you launch this show. If it doesn't work, then let me know, that could be a bug.

Thank you for the help and I should seen that. Everything work as intended and nothing else to report.