Now this is a very old story. It was old when I read it in the late 60’s or the early 70’s. There are mutants who are telepaths and have small “antennas” which make them rather conspicuous (they can try to hide the antennas under their hair, or under hats and such things, but is does not work very well) so they are hunted, and a second type who do not have antennas. Non-mutant humans do not know of the second kind. If I remember properly, one mutant of the first kind finds out about the second kind, so he is hunted by them, too. I don’t remember much else, and not at all how the story ends.
This is the plot of A.E. Van Vogt's 1940 novel Slan.
There are two types of "Slans": one type has golden antenna-like "tendrils" that they try to hide, but not always successfully, the way that you describe. Because of their psychic powers and their obvious difference, the main antagonist, world dictator Kier Grey, has the slans hunted to near extinction. Note that this novel came out in 1940.
As the book progresses, we find that there are some slans without "tendrils" who are able to hide themselves from non-slans.
They are not allies-- the tendrilless slans hunt the true slans as ruthlessly as regular humans!
Although Slan is far from my favorite novel, it is a well known classic because of its electrifying effect on SF fandom.