@mitsuki48 Oh, you are not being picky, you're entirely correct, she didn't deserve any praise. But her blatant insults against the king should have netted her a severe punishment, with death or banishment as real options. But since that would also upset her family (or destroy it if the punishments are applied with a broad enough brush) this would harm the status quo in the country and also give a bad tone to MCs (now fairly probable) future as a queen.
Thus she presents a case for the king where Mimili is childish and open with her emotions and should perhaps be forgiven like you might a cutely spoiled child that isn't really your problem anyway.
But she also adds that she has a slight debt of gratitude to Mimili, which explains why she saves her (else she might look like a weak queen in the future, afraid of doing what has to be done).
So it's just "proper politics", presenting something from a different angle or putting emphasis on different things just as polish for the pragmatic acts that are actually performed.