Courtship and women

When it comes to courtship, it is understood in our culture that men must make the first move. That is both an advantage and a disadvantage to the women.

For one, women has the discretion to choose the suitor who suits her best. On the other hand, she can choose among the men who courted her. What if she's eyeing on someone else who is not courting her?

That guy she's eyeing can be considered as torpe or maybe just not interested in the girl.

What happens then? Can the girl actually make the move or is it a sign that the guy isn't worth it?

This is the question I want to throw back to society. Is it acceptable for women to court guys in the modern setting?