You need to find the "wing pocket". If you notice the row of feathers that your wing was wanting to sit on rather than sitting in, those are the feathers I'm referring to. I have cut a relief in the actual form so it has a recess in the form allowing it to sit deeper towards the body. Also you can eliminate the fine wire all together, by taking some floral wire and threading both wings together through the form using a long Needle to achieve this. I'm giving you a brief over-view, and expect you'll have a few questions, so feel free to ask more specific questions where you may not be understanding. You will need to take the wing and pull away from the pocket (towards the tail) and drive them downwards towards the breast a bit.
But the best advice I can give you is to use your search button, and look for relaxed sitting position geese and ducks. If you pay close attention to details, you'll realize that the birds really have their primary feathers laying over one-another and are probably tighter than you laid yours. Next time you have a freshly killed bird in hand, manipulate the wing till it allows you to find this pocket I'm referring to. using a reference is priceless!