Remove HTML Block from Widget

[kh99]

Not sure exactly what block you're talking about (is it where there's usually an icon?), but, if you configure the widget there's a field for a template name - you probably want to edit that template. Of course that will remove it for all widgets of that type, so if you want to do it for one widget only you'll have to create your own template and enter the name in the config page for that widget.