Daphne didn't even ask for the reasons why Victoria recommended that she should meet with Andrew, instead, she said, "Then inform him that I'll see him in a week."
It wasn't that she had other commitments and she couldn't meet him sooner, just that she had to show her status as royalty. She wanted to make Andrew wait to show him that it wasn't that she wanted to see him, but that she was giving him the opportunity to see her and that's why she made him wait on purpose.
While it seemed like a silly move, that's how royalty and even nobility move. They always want to appear superior, but little did she know that Andrew didn't care that they made him wait, but rather that she would give him the audience he needed.
After deciding that, Daphne and Victoria talked for a while about other unimportant matters. Daphne asked Victoria when would she get a husband, but Victoria gave an ambiguous answer.