My closest relative doesn't trust me anymore. Do I have to send a short message to say I owe her?

The first apology is naturally necessary. No matter who is right or wrong, as the picture shows, trust is a kind of respect. You apologize to him to show your respect for him, but if he chooses to ignore or not care after the apology, it shows that he doesn't care about you because of this kind of thing. If a person who really cares about you won't doubt you because of anything, even if you lied to him, he will find various reasons to appease himself and think that you are suffering. I'm not just talking about it, because I have such an experience myself, but everything in the world is changeable, and I can't represent everything with this experience, but what I have experienced always has the authority.