The phrase "a feeling which is" is correct and usable in written English.
It can be used when describing or elaborating on a specific feeling or emotion in a sentence.
Example: "She described it as a feeling which is both exhilarating and terrifying at the same time."
Alternatives: "an emotion that is" or "a sensation that is".
He dislikes David Cameron and George Osborne – a feeling which is mutual.
Many who were involved now regret getting caught up in the frenzy, she says - a feeling which is echoed elsewhere anecdotally.
"We have a feeling, which is becoming stronger, that there is a kind of a game being played by Mr Assad and his government," says Konstantin Kosachev, deputy head of the Russian parliament's foreign affairs committee.
One of the largest misconceptions about depression is that it is a feeling - which is part of the reason men are so reluctant to talk about it.
"What a ridiculous guy," I thought, but simultaneously there was a feeling, which, were I a cartoon character with a bubble coming out of my head, would have been something like, "Arr-arrrf, Woof, Woof!!" If there was animal magnetism, this guy had it, unless it was the horse.
A feeling, which was -- and still is -- crucial.
"It can generally give a dog just a calm feeling, which is great around Fourth of July and thunderstorms," Carella said.
Even though I didn't find a man to broaden my envelope, I still felt a big feeling, which is something.
Nobody suffers so much as a bruised feeling, which is part of the problem: the relentless upbeatness of "Life or Something Like It" wrecks the possibility of either real laughter or genuine pathos.
I think that something's good only if it costs you something or goes against human inertia, not because it gives you a fuzzy feeling, which is kind of self-serving when you think about it.
All good reasons, sure, but sometimes we're drawn to things simply because they give us a warm, fuzzy feeling, which is harder to explain.
