[There's probably nothing quite as reaffirming to one's good position as a greeting from the Queen herself; by all appearances both women are kind and good with no suspicious that could be tied to them. Put together, any doubt about that is even harder to give rise to.
And so that is all the public must know. And if she's honest, though there would be time to discuss their more private matters, Anne is only happy too meet with Pepper again now.]