The phrase "That's annoying" is correct and usable in written English.
You can use it to express frustration or irritation about a situation or behavior.
Example: "I was trying to concentrate on my work, but the loud music from the next room? That's annoying."
Alternatives: "That's frustrating" or "That's bothersome."
Exact(46)
Not seriously, but yeah, that's annoying.
This video parody shows everything that's annoying about Instagram.
"The only thing that's annoying about it is the questions," Higgins said.
"Maybe he's doing something that's annoying and we can tell him to do it differently".
When you have something that's annoying you whether it's a toothache or something your partner is doing or saying you tend to dwell on that.
Both came on dinky wooden boards – an affectation that's annoying enough in a pub, but in a swanky restaurant is just plain naff – as did rather so-so bread that seemed to be still in the development stage.
Similar(14)
Another thing that is annoying is Rudolph's voice.
It's not just job related calls that are annoying.
Do not bully anyone that is annoying.
If you don't know how you are being annoying, kindly ask the person that is annoyed what it is that is annoying him/her.
That's annoyed a lot of trade unionists".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com