How do I create a Service Desk queue to exclude tickets with linked issues in Jira?

[Michael Royle]

I currently have a service desk queue that I want to Edit to exclude tickets where a linked issue exists in Jira Project (as once issues are added to the project we don't need to worry about them in SD). 

I've edited the queue and included LinkedIssue in EMPTY and other variations but it doesn't show any results, can somebody please tell me the best way of doing this?

Thank you in advance.

[Mark Novi]

Would also like to see this, being able to exclude issues that have been linked to development would clean up our board.