Hi Kittyfox! It's odd you haven't received a starter pet yet. Usually when you first create an account, you go on a quest that allows you to create your first pet. Here is something you can try-
On the left, do you see a box with the heading "What to do" and a list of activities? If there's an activity like "Create your first pet" or "Complete the quest," click on that.
Until staff find a way to help you, if you like any of the pets in the Clearing tab of my territory you can have one for free :)