givemecouture,
You're giving some very good advice there, but...
I tend to disagree with one issue.
Petting, greeting, feeding the other dog first, just may not work all that well when it comes to a Female Yorkie. I think that will exacerbate things, and cause her to increase her intent on dominance. She will not quit !
Now, Dazzlingdoodles has brought up a good point as well...
Just because she's obsessive/compulsive right now, does not mean that she won't settle down as stated, and be the best Dog you ever had. She just must achieve this goal.
Beyond that, I can't be more proud to say one of my animals is a Female, and she's the sweetest little thing you'd ever want to hold and kiss. BUT, she's got a dark side to her, and she'll have my Male (almost twice her size) running full speed away, if he ticks her off. He's very lucky he can run faster than she can !
One other thing...
I do not intervene in their "position" issues ever. She has given My Male a good strong nip on a couple occasions to put him in place, but, fortunately nothing more than that. I don't think you have to worry about a serious fight. They understand they have to live together.
Now, down the road...
Once she has established things like she likes, it will settle down completely. My two get along SO well, share the same Food Bowl, and one will take a bite and move back to chew, while the other moves up and gets a bite. They sleep together on the Bed and under the Coffee Table by my Recliner, and will share the foot of the recliner, when I'm taking a nap (one on each side of my legs).
I sincerely believe, that my approach in not intervening in "their" relationship, has been the key to their compatibility.
I readily admit.. .I can not compete with Mother Nature !