I can see that honesty is important to you, but I don't think it's the massive stain on your honour YOU think it is that she was questioning this.
People ARE dishonest. Mostly in tiny, harmless ways. Little white lies to make the day go more pleasantly, to be respectful of their company, or in some cases, to cover your own arse.
I think it's my ability to seamlessly lie in very small, harmless ways, that has got me so far in my career. I've convinced recalcitrant staff that they're getting their own way, I've kept things smooth between difficult customers, I've been charming and complimentary about complete bullshit. I've also seen people be needlessly horrible to each other when small, gracious lies would solve the problem. Lying is incredibly underrated, IMO!
She might have just wanted to know if it were the truth because it's really important for new employees to know that it's OK to share mistakes and fix things than conceal them for fear of a telling off.
Essentially even if she were accusing you of dishonesty, it's not necessarily a thing she'll think as a massive insult.