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Ok, I did a drawing, it's half done and shows nothing of the work involved. green - battening, red - ply, blue - ply / hinge support, black - hinge. pencil - shelves hanging pole... honestly I'd concentrate on the inside stuff first, do it well and make it work for you (shelves maybe 22x22 batten covered top and bottom in 5.5mm ply so floating, any position length and size) hanging pole one or two etc.. Then consider the covering, ceiling battens would be best hitting joists, easy if you can see /access them from above [I'm imagining lathe and plaster ceiling]. ... so I mentioned curtain as it's the least destructive (can go round corners) and avoids most cutting also can be easily changed.. .
Oh and my shitty picture
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If I take your meaning this wouldn't work because the alcove itself isn't deep enough, so need to build the wardrobe out into the room to give sufficient space.