I think there's a lot of factors that can play out in this situation. Also, more content about the relationship status between you and this person would help give more insight.

Here's a few things to consider:

How much of this person's hurt is my responsibility to fix?
What is my intention in earning their trust/relationship?
What actions can I show the person that demonstrate my intentions and integrity?
What does this person value? What do I value? (take a moment to compare the two)
We can't control others only our actions. I hope this helps!