You've got 3 terms in there that are getting a little mixed up - not least because of marketing departments abusing the meanings to put a spin on sales
Telephoto - this is a label used to mark any lens with a focal length that is greater than a set value. I forget what the value it (somewhere around 50mm I think) but simply put any lens that has a focal length longer than this value is telephoto.
In general talk telephoto tends to be used moreso on lenses at 100mm or longer and the words "super telephoto" are sometimes used for 300mm or longer lenses (however its also used for any really expensive telephotos).
Macro - this gets abused a lot. The strict meaning is when the lens is capable (at its minimum focusing distance) of reflecting an image on the camera sensor which is the same size as the subject is in real life (1:1). This is "true macro" and is correctly used on almost all the prime (single focal length) lenses on the market. A few (eg the canon 50mm macro) are incorrectly labeled because they can't get to the 1:1 ratio. Furthermore its a term that has come to be used on telephoto zoom lenses to denote that the lens has a closer than average focusing abilty - this is only around half life size at best (with some having significantly poor magnification abilities) and is a significant lesser magnification to the macro lenses.
Zoom - a horrible confusing term that the point and shoot market confuses things with. Simply put zoom refers to the minimum and maximum focal lengths of the lens and the factor by which you have to multiply the minimum to get to the maximim.
So by example:
18-200mm lens would be an 11times zoom - since 18*11 is roughly 200
300mm lens would be a 1 times zoom because it has only one focal length, so nothing to multiply by.
Thus you can see that without knowing the shortest focal length the term "zoom" falls out of use because it does not always mean that the lens is longer than others if you compare just the zoom factors.
In short if you want a longer lens for wildlife or sports you want to look at the focal lengths where the longer the better is the very general approach. Whilst if you want a macro lens you can look at some zoom lenses (eg a sigma 70-300mm APO macro) if subjects the size of flower heads are roughly what you want to shoot - but for true macro you have to stick to the prime lenses.