It's just not escaped properly.

You can probably just get away with putting a backslash \ before the $ so it looks like \$.

The quotes and escapes are mangled.

cd into the directory with the folder to remove, type rm -rf ./ then press tab until the folder you’re looking for is autocompleted after the ./

Ask loveespresso@retrofed.com.

Just type rm -rf f and use tab to auto complete.

Are you sure the name is 'folder'$'\003'? I think the outer quotes might be added by ls. I would try rm -rf 'folder\'\$\'\\003'

Edit: Or rm -rf 'folder\'$\'\\003'

You probably don't own the folder. Use sudo.