When a friend tells you a secret, something which they could trust no one else with, you are naturally expected to keep it, after all promises are promises.There's one too many commas in this sentance: I'd drop the last one, and use a hypen or a colon.
However sometimes your trustworthiness can be over estimated and your head can fail your heart.I'd change the first two words to "Sometimes, however,"
I remember when I failed my friend and did not keep my promise of secrecy.This sentance is a little awkward, and doesn't have the easy "speaking" tone that narrative should have. Read it out loud, then try writing it down the way you would say it if you were speaking it to someone; "did not" for example, would probably be dropped for "didn't" in real life.
I had expected rage, hate and bitterness but her reaction shocked me to my very soul. Her eyes filled with disappointment, shock and most of all regret.Perhaps the double use of shock is not especially helpful to how the paragraph flows?
Regret shall always be the most brutal of tormentors.Shall is to out of place, to me: "Regrets are" might be better (therefore drop the 'be'); I'd also have this as an entirely seperate paragraph after the rest, just for emphasis.