To hide the delete icon from the toolbar in Nutrient, you can use the individual public CSS class selectors for each toolbar element:

.PSPDFKit-Text-Markup-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Rectangle-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Ellipse-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Polygon-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Polyline-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Line-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Ink-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Text-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Note-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Image-Annotation-Toolbar-Button-Delete,
.PSPDFKit-Stamp-Annotation-Toolbar-Button-Delete {
display: none;
}

Or, you can try to match part of the selector:

.PSPDFKit-Annotation-Toolbar [class*="-Toolbar-Button-Delete"] {
display: none;
}

You can see the complete list of available public CSS classes for toolbars in our API reference.