Intelligence is taught; whereas wisdom is being able to look beyond what you have been taught. In other words, wisdom allows us not to be limited by what we have been taught to believe.
Wisdom ‘listens’ to seek understanding; whereas Intelligence ‘speaks’ as if it already understands.
However, once we marry intelligence with wisdom, we ‘inspire’ an ‘enlightening’ relationship. And with this being said, I once heard a spiritual teacher say, “In-spire represents ‘Being’ in-spirit.”