Sounds like resource guarding. It's more common with toys or food, but it can be anything of value. It's not necessarily about dominance.
I think you've gotten some good suggestions - either manage the behavior by not letting her have a blanket, or make sure she has several comfy spots. Since it's rather unusual, a vet check would not be out of order.
One other thing you can try is to make sure your body language is not threatening. Rather than bending over her from a standing position, make sure to kneel down first, palm up, and move slowly.
"Trading" her for her blanket is also a good idea. You can even teach it as "Leave It" so she knows if she gets up off her spot, she may just earn a treat.
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