I would like to know if Female Ox and Male Rooster is a good match.

Edelweiss,
This is a good match for marriage. In your case I have my reservations, because your yearly element was Wood, while your partner's element was Metal. And because Metal cuts wood, this is not a good indication for an easy marriage. It would be also good if the Ox is the male, which is not the case with you. I'm sorry, but I have to tell you the truth: No.