You can see the "Help" icon only if you are an Order member. By hitting it, you will help other members of your Order complete processes faster. This will earn you Personal and Order Points.

You can also help members of your Pact in the same way if your Order is a member of a Pact. You get Personal Points and Order Points as a reward for doing so.

The level of your Palace determines how many times Lords from your Order or your Pact can help you.

For more detailed information, read the "Helping members of your Order or Pact" subsection under the Orders section.