Being Alpha means being dominant over others in some way, but have you ever thought there's more than one way to be dominant? There's various types of dominance i can think of including:

physical or looking imposing. Sometimes being short and not too muscular doesn't stop people from looking intimidating, and it could be posture and body language that contributes to the intimidation factor. Usually though, if you can do a couple squats with a fat girl as a load an maybe military press her too, then you look much more attractive.

intellectually. Have you ever met a girl who is smart but dumbs it down to a level of near retardation whenever she wants to talk to the guy? she wants to be dominated intellectually. If you know more about 18th century art than a girl does, and you let her know it by showing off in the right context, you might be seen as a sophisticated man. The point is not to teach her anything, but to show that you are more intelligent than her in a way that is bragging, but for the aim of getting what you want and not from a place of proving yourself.

willpower. In general, the gender difference gives men an advantage, however there are many ways in which women can be more persistent ie less distracted. Being assertive and sticking to the plan will help with this. Women usually get what they want by slow attrition, by undermining the male ego, or by using guilt. If you have a strong enough assertive stance that is adaptable you will win before things even begin.

sensual. Dominating a woman's senses are underrated. What do women find romantic? It's the things that dominate her senses, like a beautiful sunset or a crowded fancy restaurant. There are pictures on the wall, the music is playing, people are talking about many things. the atmosphere is tangible.

potential. This way of dominance is the reason "learning not giving a fuck" can potentially be so attractive. Not really fear but not really not fear. If you act like you could dominate, but choose not to, then you are seen not only as strong but with an air of mystery as well. The key step is to act convincingly like you could dominate. Wear clothes that make you look influential and tough. Act like you could have her if you wanted to. Many guys act this way but do so in a way that is laughable, see-through and can't be taken seriously so let others think that they don't want to mess with you because there might be consequences, even if there actually won't be. This correlates to RP guy keeping frame. Let the women think that they could be dominated by you at any time. If you're not present and there with them then this is helpful to keep them acting the way you want them to.

sexually. Always be the one who does the dominating and the starting. Even if she instigates it first, push her away and then start it yourself immediately. Make her become used to waiting on you to do anything. If you let her start your sexual experiences, she might take that power and use it on another guy if she's frustrated and you're not there. Make sure you have control but give her some constrictive leeway and remember she is a person. Make her think she has to impress you and wants to do so because you are important enough. Like a job interview or something similar. There are other ways to dominate but these are a few. Hope this helps.