Carlota would like to backchannel to the conservative nobility that Alexeara is not marrying her because he has been seduced into political radicalism. Ideally this would not even be necessary to communicate because she is not a political radical and Alexeara is an even less likely candidate to be one, but she is sure that's how some people will take it if they don't manage things carefully, so they need to manage things carefully. And she cannot leave it up to Alexeara to convey in his meeting with Fraga and Cerdanya this morning because Alexeara would probably try to say something highly specific and true that would end up conveying the opposite. She suspects the man is not capable of the casual confidence in his own authority which would be the most reassuring thing.
So, she invites Isidonia for a private lunch. Isidonia is a sensible woman and understands how to make sure that things end up known by the people who need to know them.