To make an "invisible" module in 99% percent of the cases the following trick can be used:
In most (unfortunately not all) modules, when you go to that module in the administrator pages, in the module parameters there is a field called "module class suffix".
Some templates come with special suffixes so that you can use that field to have a red/green/orange module. But you can also use it to get rid of the graphics around that module. A trick I often use is to put -none in the module class suffix field.
I know the "tweet this" module has the module class suffix field (see screenshot). I can't remember if the Tweet Follow module has it. But if it has, you can use the trick.