Each bird is so very different so this is really something that I feel you will have to work out by watching how your bird reacts to the visits from the outside birds. I have three birds who all respond different to wild birds.
Burt (macaw, indoor bird) likes to think he is scary to most of the outside birds as they make him a little on edge lol. He really seems to enjoy watching the littlies and thinking/behaving like he is scaring them off (when they naturally move on) with his display of big wings, abrupt lunging and calling out in a scary way "Rah", but it is only the sparrows and fairy wren sizes of bird that he seems to believe he is scary to- the others like the black tail kites, goshawks, wattle birds, starlings, bin chickens etc he is absolutely terrified of and hides behind me or the wall to watch them or he non stop alarm calls about them.
Birdie (SC2, outdoor bird) only gets upset (panicked, defensive and bitey) if the wild birds get too close to him (too close for him is like 10-15cm away) as his aviary door is usually open enough for the little birds to get in when I am home (he does not fly at all and barely moves plus I can see him from inside the house)- he is not bothered by the sizes of the wild birds, only by how close to him they get.
Squeak (budgie, indoor bird) loves the wild birds visiting him and has only been frightened a few times when a hawk hit the window trying to get him- he sings out and plays up to the little birds who visit him.