Who can do this: anyone who can edit the list.
Put your strongest candidates at the top, so clients see them first.
Steps
Open the list.
Click the sort button to the right of the search bar. The bar says Sorting mode active: Set the order of your candidates on your shared list.
Drag the candidates into the order you want. With the keyboard: click a candidate, press Space, move it with the arrow keys and press Space again.
Click Save. Or click Discard to keep the old order.
What happens next
Clients see the candidates in your new order the next time they open the list. Your own view can sort candidates differently; sorting mode always shows the order clients see.