That unlabeled search box is part of the Bouquet theme. You can use your Custom Design upgrade to further customize your theme's design with CSS.
To add custom CSS, go to Appearance > Customize in your dashboard and select CSS from the Customize tools. In the CSS editor, you can enter the following CSS:
That will remove the area with that unlabeled search box. Let me know how that goes! :)
To learn more about CSS, you can take a look at these resources:
If you have CSS questions, most of our CSS support is done in our community forums by both staff and volunteers: