I'm going to suggest that this is "Lover When You're Near Me" by Richard Matheson (1952 and frequently anthologized) (ISFDB).
In the story, a man is sent to a planet where he oversees Station Four. The natives, Gnees, are telepathic and there is a female of the species "Lover" who works as his housekeeper. She becomes obsessed with him (as she has with all the other human males who worked the solitary shift at Station Four) and increasingly grows creepy in her affection... leading to madness.
Here are some descriptions from Doomsayer's review:
while the woman who serves as Lindell’s housekeeper has a squat, coarse head, “pink and hairless-like the mottled belly of an expecting chihuahua” with a single-nostriled stub for a nose, and lips “thick and monkeylike, outlining a small circle of mouth.” Because of her hideous appearance (he thinks), he impetuously decides to call her “Lover.”
He also quickly realizes that lover is telepathic, which fact pleases
him greatly because “[a]t other stations it was either you learn half
the language to get a ham sandwich or try and teach ‘em English so I
wouldn’t starve. Either way I really had to sweat for my supper until
things got settled.” The most obvious initial downside is that he can
never escape Lover’s pathetic supplications.
.... Things continue to worsen as he is struck by a recurring nightmare, Lover begins leaving flowers by his bed even after he locks the door, her thoughts continually crawl over his brain like microscopic insects, and then he finds a cogent note left in the logbook: “God help me,” read the note, black and jagged-lettered. “Lover comes through the walls!”