In Essentials, if a portion of a design that you want to delete is in it's own separate color stop, it's as easy as selecting the color in the object pane at the upper right of your Essentials window and pressing the delete key.
If the portion you want to delete is only a part of the stitching in a color, you can delete a portion of a design in Essentials by inserting a 'Color Stop' before and after the section you want to remove in your design, thus placing it in it's own color, then selecting and deleting as usual.
Simply click the 'Stitch Simulator' icon, scroll to the stitch just before the element you want to remove, and click the 'Stop Sign' button to insert your first 'Color Stop'. In the image below, you'll see the slider has been moved on the bar into the section representing the black stitching; here we are adding a color stop before the word 'Historic' in the top of the shield so that we can replace it. At the left of the simultor bar, you can see the red 'Stop Sign' Icon.
Once the icon is clicked, the software will ask you to choose a color for the new break, and you'll see that the stitches after your color stop are then represented in that new color. Repeat this at the end of the element you want to remove as needed.
Once you have the element in it's own color change, simply click the new color block in the object pane, as shown above and hit the delete key. Now your object is deleted. You can also copy, paste, resize, or move the new color block if you want to use it in a different location or method.