To delete a competency you first need to access the Competencies Link on the Left Navigation Bar. 
You will need to click on Administration and then select the Competencies. 

On the Competencies Page, you will need to select a department and the course you want to delete the competencies for. 

A table of competencies will appear, find the competency you want to remove from the course and click on the Delete button. 

A window will pop-up asking if you are sure you want to delete this.
Click DELETE if you wish to confirm, otherwise click NO to abort and revert the changes.