When my youngest was small, he refused swaddling etc. etc. and in the end we found he would only sleep on his front. He became a new baby once I did this, after weeks upon weeks of fractiousness (both he & I).
Anyway, the lady from our local sleep clinic said as a first step make sure you have the 'bedtime routine' sorted, so that baby can identify what's coming next (ie. sleep-time), and she said that it 'can' be perfectly normal for a baby to take up to 20 minutes to settle themselves (if you're brave enough to wait that long), but once 20 mins is up, you must must must go and tend to them, as there's likely something wrong, rather than just being unsettled. I tried it, and often on the dot of 20 mins, ds fell off asleep.
Sounds like the kicking & fussing & unswaddling is maybe just her way of getting comfy, and crying......well, sometimes they just do, don't they little buggers
Let her cry, at the very least she will tire herself out
, but also if you leave her for a little while, she will soon understand that you aren't coming straight in to tend to her, if there's a chance that she can drop off by herself.
Oh, it's so hard isn't it, not knowing what's the best way forward, I wish you the very best of luck. No doubt you'll have it sorted before we know it.