Steve,
Tannic acid, produced traditionally from the fermentation of oak galls, has the ability to coagulate proteins and penetrate tissue. Its' ability to do this explains its' ability to transform raw hide into leather.
It is also strongly astringent.
These two properties enable it to kill both bacteria and other micro-organisms, including house mite and is responsible for my tea allergy.
However, as Trevor has indicated it also has a detrimental effect on the dyes of many fibres, both natural and synthetic, so would not be recommended for the treatment of soft furnishings.
Non-medical quality tannic acid may contain traces of gallic acid. It is commonly used as a mordant for cellulostic fibres such as cotton and for the chemical staining of wood. This is an additional reason not to use it of soft furnishings in that it can set certain stains, rendering them permanent.
PS.
Tannic acid is not actually a true acid, but a polyphenol.