HI there and thanks for your question.
Yeah it sounds like you are on the right track with this thing. The alpha training is very important and it is good to hear you are getting on top of this.
Introducing dogs should be a very gradual thing and i am glad you are doing this.
I would recommend from the outset that you have a product called DAP. This is a natural canine pheromone (a good smell) that is great at calming dogs in these situations.
The way you are introducing them is brilliant and smell is very important. When you have them in the same room make sure they are both on leads and if need be muzzle the girl. It is easier to deal with problems with a lead and teeth taken out of the equation.
There should be no rough housing allowed at all to start with. Your girl needs to feel safe and your pup needs to learn he is below her in the house. This will take time and patience.
It is important to make both dogs get along. To do this you will need someone else to help you. Play and give all the attention to one dog, then swap around and do the same to the other.
Any aggression what so ever, whenever must be reprimanded. Use a loud GRRRRRRRRR or AHHHHHHHHHHH to get their attention and throw a blanket over their head or squirt with a water pistol. The second they respond, sit and behave then praise them with attention.
You can try feeding the dogs near each other but keep her on the lead so she doesn't lunge.Take things very slowly and make sure the pup has time to learn where he stands and the girl gets comfortable.
Good luck and let me know how things go
Todd Field