For an invoice to be created and sent to a client, there must be a Xero contact linked to the lead.
To add a Xero contact to a lead, navigate on the main left menu to Lead > Details > scroll down to the bottom of the page and click on the Xero Contact drop-down menu.
If there is an existing Xero contact for the lead, select this contact, or you can create a new Xero contact by clicking Create New Contact from the Xero Contact drop-down menu.