Intelligence is about your mental capabilities, I.E. how fast you learn, how many things you can keep in your mind at once, how easily you can imagine abstract concepts.
Being wise is a lot more about experience, having heard and seen enough things to be able to sort something new into a bigger reference frame.
So someone who is intelligent but not wise is a quick thinker, but will still make mistakes out of lacking experience with the topic.
Someone who is wise but not intelligent knows how the world works, and how to respond to problems but doesn’t necessarily understand why exactly things work, and they take longer to learn something new.
I don’t think it’s a huge distinction, other than technically ‘intelligence’ could be measured to a certain degree with an IQ test for example.
I would say wisdom is a more abstract concept referring to a type of intelligence which cannot be actively learned or taught. Someone who is wise may have lived a long time, experienced many things, and may be able to offer advice to others.
This is purely conjecture though, I’m no expert.
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