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There might be a few ways to do it, depending on exactly what you need. To make multiple paths, as if you had drawn it in Inkscape, you'd have to use what's known as 'node editing' to break it up into paths. And unless you've done it before, there will be a small learning curve. Plus it will be a fair amount of work. You can read about paths and editing paths here in the manual
http://tavmjong.free.fr/INKSCAPE/MANUAL/html/Paths.html. You'll probably want to use Path menu > Simplify, to reduce the number of nodes, before starting on the node editing.
If something like this would work:
Select the result from Trace Bitmap. Add a stroke and remove the fill (Fill/Stroke dialog, or bottom left corner of window) Then do Path menu > Break apart. Also probably use Simplify here too.
Why do you need to have multiple paths? If it's for the purpose of coloring it, you might be able to use the Paint Bucket tool instead, to color it. Although I see some color in the wings that isn't outlined by a stroke/path, meaning that you won't be able to color the wings like in your PNG, using the bucket tool. You could still achieve the same coloration, but it will take a couple of extra steps. And because of how the paint bucket tool works in Inkscape (a vector graphics editor) it will also create paths. Simpler paths than from trace bitmap. So I'm thinking this might be the best choice.
But maybe you need multiple paths for another reason? Once we know that, we can give more detailed instructions
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