It is distinct and 'separate' from our mind, or at least has been for quite some time now.
The thing is, it's meant to be an integral part of our functional knowing and wisdom gathering abilities.
They compliment each other and when we use them together we gain far more than merely the sum of the parts.
Intelligence has been the measure of our ability by which we detrmine 'correctness' and usefulness, and is usually thought of as a function of our minds analytic prowess.
Our hearts intelligence on the other hand is not the product of analytic process but rather our intuitive grasp and our sense of 'knowing' about the topic at hand.
It is based upon our fundamental underlying ability to tap into the fields of energy that surround us all.
It was and is meant to 'balance' out our understanding of that which we focus our awareness upon by adding an intuitive and emotional and 'feeling' based grasp which compliments our emotionless analytic capacity, so that we can get a more complete understanding of the whole of the topic at hand.
When we are able to balance these 2 sides of our ability to know about, and of, that which we choose to focus our awareness upon, our functional experience-undestanding-wisdom gathering abilities will blossom as never before.