The problem is that a deer could have the intelligence of Einstein and it would be useless.
No hands..
A deer as smart as Einstein would come up with something better than running and possibly getting caught...
1) Kill a rabbit or other animal, then kick it around while scavenging. When a wolf attacks, kick the rabbit. Hopefully the wolf's prey instinct will get it to chase the rabbit, not the deer.
2) Bathe frequently to get rid of scents.
3) Find and carry a dead wolf.
4) When in a pack about to be chased by wolves, kick one of your fellow deer before running. Not friendly, but no one said our Einstein deer was a good guy.
A stag with the intelligence of Einstein can use rear hooves to propel the delusionists through the tree branches and into the next county, especially the specially trained patrol elks.