It's true they had a lot of work to do but Arabella would not say no to a date with Ferdinand. Especially when he was planning to bring her somewhere nice.
She would gladly grab the opportunity for a date especially since Ferdinand was taking the initiative. Who knows, he might just tell her the truth of his identity on their date too.
Moreover, improving their relationship takes priority. After all, she worked just fine as the Empress in her past life. But due to their failed relationship, everything went awry.
As the key figures in the Empire, it was important that their relationship was good since whatever happened to their relationship would greatly impact Valeria.
Likewise, a time just for the two of them was also necessary every now and then. Especially with the yearly assembly in Medeus coming up. They would be busy with preparations soon.