"trouble maker" is perfectly acceptable in written English.
You can use it whenever you want to refer to a person who is causing trouble or mischief. For example: My little sister is such a trouble maker; she's always getting into trouble at school.
Exact(22)
Beetroot is a bit of a trouble maker.
The dog, known as Sharik, at once becomes a slovenly trouble maker, turning Preobrazhensky's life upside down.
At Baylor University, a traditional Christian school, he was "a drinker and a trouble maker", he says.
One grass that is sometimes a trouble maker as it grows so aggressively is Pampas grass, a Cortadera.
Enter Loren Feldman, a video blogger and general trouble maker.
An open question in this contest remains, however: Is the MSE really the trouble maker, or is it the independence assumption?
Similar(38)
Once a trouble- maker, always a trouble-maker.
What he's not is a trouble-maker.
Robinson has always been a publicity seeker and trouble-maker.
"Doesn't she look like a trouble-maker?" Mrs. Scott asked.
"All my life I have been a trouble-maker," he once wrote.
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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