The Dreamsman by Gordon R. Dickson (Star Science Fiction #6, 1959) begins with a Mr Willer shaving, until:
[He] poises the razor for its first stroke—and instantly freezes in position. For a second he stands immobile. Then his false teeth clack once and he starts to pivot slowly toward the northwest, razor still in hand, quivering like a directional antenna seeking its exact target. This is as it should be. Mr. Willer, wrinkles, false teeth and all, is a directional antenna. p. 78 (The Year’s Best SF #5, edited by Judith Merril, 1961)
Shortly afterwards, Willer goes to a house and confronts the couple who live there, stating that they are telepaths who are transmitting. After he manages to win their confidence (admitting in the process that he is almost two hundred years old) he tells the couple that he can take them to a colony of similarly talented people. They then drive to a military base and, after Willer has hypnotised his way past the soldiers and guards, reach a spaceship that will supposedly take the couple to Venus.
At this point (spoiler) a man dressed in silver mesh arrives and reveals that Willer routinely disposes of psi-capable people so Earth people won’t evolve and be admitted into Galactic Society (of which the silver-mesh man is a representative). The reason? Mr Willer likes things the way they are.
An unconvincing squib that is a collection of worn out clichés.
* (Mediocre). 2,850 words.