Ankh stands up immediately when Gavina moves, and of course he wasn't planning on letting her seriously attack Eiji from the start. That said, he's not exactly pleased either about Eiji sneaking in to overhear him talking to the bird. He waits for the request, and there might be a slight hint of amusement as he calls over, "Gavina, stop."

Him, she'll listen to. Much as she makes a show of looking displeased about it, she retreats and flies back to Ankh, landing on his arm where it's covered in armor and not just skin. He gives her a look to remind her that she's not supposed to go after Eiji, even when it's kind of funny at the time, before glancing back in his direction, just to make sure she didn't actually do anything to him other than be threatening.