You just need to configure Confluence Questions to don't grant the View Permission for anonymous users. To configure it, go to Confluence Administration, and then select Permission below Confluence Questions on the left panel. Make sure that the View Confluence Questions option is marked as "can't view" on the Anonymous Access area.
Please let us know if you have any questions.
Yes, in order to test it, you can create a demo space, set it as public and create a new test question into this space. If you've configured Confluence Questions to don't allow anonymous view, as I explained in my last comment, then anonymous users should not see this test question created into this test space.
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