An alpha female is a female human who is well aware of the fact that she is sexy, desirable, and everyone wants to fuck her, and maximizes this knowledge to control/dominate anyone and everyone around her. She flaunts her superiority over beta females and males in general with no fear of retribution. An alpha female may feign interest in a male to further her own agenda, but in reality no male can ever satisfy an alpha female, not even the alpha-est of alphas. By the standard definition, all alpha females are bitches, but it doesn't matter because you'd do anything to fuck them anyway. They know this as well.
Guy 1: She's so hot, I'd hit that
Guy 2: Eh, I wouldn't, she's kind of a bitch, I'm not really into alpha females
Guy 1: Whatever, you just keep telling yourself that
Guy 2: Yeah you saw right through me