Strange that the answer given at the top of the thread is the one I am giving now; from what you say I think a burst blood vessel - a tiny one they call a capillary - is the cause of the bleeding. Such vessels often rupture in the nose and throat... often through violent couching or sneezing (or other activities too intimate to discuss here); I'm sure you'll be fine. Truly I am. Anything more sinister and there would be a specialist involved for sure.
Mystically yours in hope you feel reassured.