OP, you need to sort our your terminology.
Zoom lens: A lens which changes its perspective. The focal length is not fixed, you can "zoom in" or "zoom out". These need not be tele lenses. Some go from 18mm (wide angle) to 250mm (tele) - the so-called "super zooms".
Tele lens: traditionally a fixed lens which draws the subject "closer" to you than your eyes see. On a full frame, 40 mm would be slightly wide angle, 85mm would be slightly tele. Our eyes are in-between there somewhere (not sure where). Today you can buy "tele zooms". Those are lenses where all possible focal lengths are considered "tele", but you can "zoom out" to less tele, or "zoom in" to "more tele". Canon's 100-400mm is an example. I think Sigma has something like 150-500mm as well.
Is there a difference between a tele lens and a zoom lens? Which one should you settle for? First you look on the focal length. You want to "zoom in". Then you need to look in the 100+mm range. You can buy a 200mm f/2.8 lens. That's a tele lens, but not a zoom lens. Just because it's not a zoom lens, doesn't mean you're not drawing the subject "closer" to you.
You need to look through such lenses, try them and see for yourself if these explanations are doing anything for you. Not mocking, just an honest thing.