He lied, at least three times, by a lie of a lie, by denial. Bitterly weeping means- what? What in the world, does that mean? Sorrow, at contributing to the resurection of Jesus Christ?
If you were to weep bitterly, what would it mean?
In Peter’s case, yes, extreme sorrow, but more than that.
Repentance.
And then remember that he declares his love for Jesus three times later on.