If they can do it up then the bird can undo it. They need to be block3d off from getting to the screw part.
OK, like most engineers (or some say men in general) I can't help keep trying to "fix"....
If it's a ring up against a dowel or anything similar, is there room slightly under the ring to drill all the way through the bowel and dowel? On the bowel side drill a hole for a bolt (more in a sec on that). On the other side drill a larger hole 1/4" or so deep (depth of a nut) and wide enough for a socket wrench head to wrap around the nut.
Ideally on the bowel side if you can do it, make the whole rectangular (e.g. with a punch or something) so it fits a carriage bolt like the below. The rectangular part needs to fit into the hole in the bowel to keep it from turning when tightened. If you drill the size of the short part edge, you can then cut the corners in with a triangular file or a punch on a vice or something to fit the corners. Doesn't have to be perfect, just a bit too small and then tighten hard to pull into shape.
On the reverse side put a nut on an tighten with a socket so the nut goes inside the dowel to keep the beak away. This carriage bolt and nut do not have to be particularly large since it's not carrying weight, it's just keeping the bowel from being lifted out, while hiding the nut in the dowel, and hiding the head behind a smooth curve.
The only risk I see in this setup is if they chew up the dowel to get to the nut. If she starts eating the dowel to get to it, consider replacing it with metal, or putting a metal pipe over it (inner diameter slightly larger than the dowel) and drill through it. Another possibility if you know someone with a welder is an L shaped piece of stainless or aluminum, carriage bolt through the bowel again, and on the back side weld a little box around the nut to keep it from being accessed except with the socket.
Don't let the bird win!!
Do this for humanity, do not demote us to dumber than the bird!
