Eight days ago i dropped a piece of furniture onto my big toe, i assumed it was broken or badly bruised. about three days ago a large pocket of puss mixed with blood appeared at the site of pain on my toe and has been discharging since..normal?

You have an infection. Seek medical care immediately to prevent bone infection. Oral antibiotic is needed. Until then soak n vinegar water apply topical antibiotic

Neither pus not blood coming out of any organ or body component is normal. It would be prudent to see a doctor or a podiatrist to get the infection and injury treated. Wish you good health!