Could the female wolf with the alpha wolf be called Luna?

Yes, but for females it is harder to become alphas than males because they either have to mate with the alpha male or fight which means that she has to be even stronger than normal because male wolves are generally stronger than females. Though females are faster.

-The K10

Yes, there is such thing as an Alpha female. She becomes an alpha when 2 male wolves fight for her love. The winner gets to mate with the female, and they become the alpha pair. (Or Alpha's) Just a version of my answer :)

- Wolfsarethebest