Please note that when you're in Elements you need to click on 'Teaching & Supervision' to update the Supervison tab in Discovery.
When you view your Supervison tab in Discovery it will have a Supervison Summary if you added this and a Supervison section which will include a list of PhD topic, your role and student name - see example below. If you don't want all of your supervision track record displayed or you want to change the order they display you can change the settings.
The first thing is you can prioritise what's in the list by making them a 'Favourite'.

You have the option to set Service & Outreach items as a favourite or to edit the privacy settings.