This will create a private draft that only you can see. To view your drafts, click the sidebar menu link for Your Doll Profiles & Drafts. (On mobile, this link is under Doll Profiles in the site menu.)
When you want to make the doll profile public, untick the Save as Draft box and click the Create Doll Profile button.
When you want to make the doll profile public, edit the profile, then select "Publish" from the Status dropdown at the top of the page.