Could it be that she is your twin flame? Twin flames higher selves often reach out to each other in that way, I have read many accounts where twin flames feel sensations, such as their twin embracing them or holding their hand, although I have not experienced this personally.
It could be that she is scared of/denying the connection and is trying to keep you at arms length - wanting to take things slowly etc. I would research the signs of a true twin flame meeting and see if they relate to your experience
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