Break them down.
"Back away and you won't see or hear from me ever again."
Vyriana spoke, her golden eyes looking straight at Astaria, waiting for her answer. Her previous act of giving into Astaria's demands maybe have given out a gullible or desperate image, so she was using this chance to make her stance clear.
She didn't need Astaria.
It was the other way around, Astaria needed her.
She was just the one who gave out the offer first, but if that act of hers resulted in some Great Sages thinking that she 'wanted' them, then it was better to just end things right here.
Astaria, on the other hand, had different thoughts in her mind.
Did she want to be trained by Vyriana? Of course!
Why would she not? Vyriana wasn't in the wrong here, her coming forward and reaching out to them was a favor, not a request. Although Nux wasn't trying to talk over Vyriana, Astaria could completely understand what Vyriana was thinking. After all, she had been in her situation a few years ago.