The phrase "a persistent feeling of" is correct and usable in written English.
You can use it when describing an ongoing or continuous emotional state or sensation.
Example: "She experienced a persistent feeling of anxiety that made it difficult to concentrate on her work."
Alternatives: "an ongoing sense of" or "a continual sensation of".
Some people describe sleepless nights, a persistent feeling of panic.
Their symptoms, which include dizziness, nausea and a persistent feeling of rocking from side to side, can continue for decades after the fateful voyage that initiates them.
An ingrained assumption that women only made homes for their families — Steinem did not first marry until she was in her sixties and has no children — kept her with moving boxes, curtain-less windows, and a persistent feeling of impermanence.
Wes Anderson's world may be a place of wonder and caprice, but it is also a realm of melancholy and frustration, as if all the cool, exotic bric-a-brac had been amassed to compensate for a persistent feeling of emptiness.
I am a persistent feeling of emptiness.
People are longing for joy, fulfillment and happiness, yet are carrying a persistent feeling of heaviness and anxiety.
There's a persistent feeling in this "Boys" that the good citizens of Ephesus would much rather be at the beach.
Symptoms of acute morning sickness involve more than just an upset stomach and may include an extreme and persistent feeling of nausea, along with vomiting, which can lead to dehydration.
It was difficult to find a correct name for this theme, since it covers both a position, e.g. when an employee's competence is questioned leading to a more or less persistent feeling of low status and/or belittlement, and a situation where the employee experiences feelings of being violated and/or excluded, e.g. when the employee is expressly told that she is unwelcome at her workplace.
Becoming a mother, she said, also eased the persistent feeling of rejection that had haunted her.
She relived that on Sept. 11, she said, and got a new sense of the Vietnam era: "The persistent feeling of insecurity, the sense of violence, how violent you, not just the other person, can become".
