Interesting question.
A&D only forces the sacrifice when it is charged by an enemy model. The designations friendly/enemy are partly reliant on who is the current controller of the model.
Obey says the model makes an action "controlled by you".
My interpretation is that if A&D is one of my models (Friendly), when I obey my opponents model, it also becomes Friendly, which negates A&Ds ability. However, if A&D is my opponents model, when I obey a model, it should be possible to kill him off with A&D because the obeyed model is now an enemy model from A&Ds point of view.
What I wonder about is whether the timing makes this impossible. According to A&Ds rules the model isnt sacrificed until the end of its activation. But if I obey and miss A&D with the charge, would that mean the end of the models next activation? If so, would that mean the ability cant resolve because by that point the model would be friendly to A&D again?