What if we suggested that they make amends to one another simply in a show of good faith? Then neither has to admit guilt and both parties are made right.

We could simply imply that the Queen would want them both to succeed and to get along and making the offer, even if they never did anything wrong, would make them look like the bigger person.

( It's a bit of a falsehood, yes, but it might be a way to make both parties happy and both parties believe they've done right. )