Cleopatra is argued to be one of Shakespeare’s most fleshed out female characters, and in some ways she embodies a particular feminine identity. This is all complicated by Cleopatra’s uniqueness as a woman in power. The play questions whether gender identity is a central part of how people act in powerful positions. Masculine identity is equally at stake, as we have to wonder whether Antony forsakes his masculinity by allowing Cleopatra to be the commander of his heart. Gender identity is at the pivot of the play; arguably, Antony and Cleopatra are in love because they are the quintessential man and the quintessential woman, but it could be that the strength of their relationship erodes their respective sexual identities (Cleopatra becoming more masculine, and Antony more feminine). This change alone might be the one that presages their downfalls.
Cleopatra is attractive to Antony because she is in a position of power. For all her feminine charm, the only reason she’s a really remarkable woman is that she has power as the Queen of Egypt. This political position informs Antony’s romantic interest in her.