In a business setting, a woman generally has the right to decide whether to extend her hand for a handshake or not.
According to the YouTube video "Man or Woman? Etiquette Lesson: Who shakes hands first?", a woman decides whether she wants to handshake a man, and therefore has the right to extend her hand first for a handshake in a business environment (0:09-0:37). This indicates a shift from older etiquette rules and emphasizes a woman's agency in initiating the handshake.