It sounds like it's a new relationship. If it's a new relationship I'm not sure why this person would have no trust. It sounds codependent to me, and like a jab to be dismissive of whatever it was that you said that was hard to hear.
If this was someone who had reason not to trust then I would be with most of the other people here. If this person has only known you sober and you have not given reason to distrust I would be careful in this relationship.