Lol, that’s not how fairy tales work. Women aren’t SUPPOSED to run after men. In fairy tales, the prince pursues the damsel. He was content to give her up, so she had no recourse but to stay a princess. I have read a lot of fairy tales, and that is how they work. The only fairy tale where the damsel pursued the prince was The Little Mermaid, and it ended tragically. He married another and she turned into sea foam. Anyway, Audrey Hepburn is not my favorite. She is too “twee”. I like earthier and warmer actresses like Claudette Colbert.
That's why I think he should have written her. He is still pursuing her but more discretely. It gives her a chance to really think about whether or not to continue the relationship. If not, they could always stay friends.