Adding to Ros' answer, it will also take 24 hrs after you add to your tree for your tests to show up on the profiles you create.
Your Y DNA test will also only propagate up through your direct paternal tree.
You will also need to connect to an existing profile before there is any chance to see any other DNA testers. So build your tree out until you connect with existing profiles.
If there are other Y DNA testers who have trees from your White family on Wikitree and they have their Y DNA test entered, and you can connect them with your tree, their Y DNA tests will also propagate down your Paternal tree.