That coffee or tea stain may not need bleach; Georgia Extension says a 15-minute soak with vinegar, dishwashing detergent and warm water may help lift washable fabric stains

Coffee and tea stains are common problems that can often be treated without harsh chemicals. Rinsing the stained area with cool water immediately can help prevent discoloration. A solution of warm water, liquid dishwashing detergent, and white vinegar can effectively remove remaining stains. It is important to follow the care label instructions to avoid damaging fabric. Bleach should only be used as a last resort after other methods fail.