A block like this will allow you to delete a single entry provided that each entry is stored as a tag

Whether clearing a specfic tag is useful depends on how you set up your database. How you have your organized your database is not determinable from the image you posted. If everything about the member is stored in the tag, BadMember, you can use the above block to delete everything associated with BadMember. If you have separate lists of members etc., what you have to do to remove a member name might be much more complicated. Perhaps the following will explain:
http://ai2.appinventor.mit.edu/reference/components/storage.html#TinyDB how the TinyDB works. How your records stored in the TinyDB determines exactly what you need to do.
We want you to have fun with App Inventor so here are some resources to help you learn to
use the AI2 tools A very good way to learn App Inventor is to read the free Inventor's
are at the bottom of the Web page. The book 'teaches' users how to program with AI2
blocks.
There is a free programming course here
How to do a lot of basic things with App Inventor are described here:
Another free course is here: course for Teachers in the link:
How the components and AI2 works is described
Regards,
Steve