Correct spelling, explanation: an English noun and verb debut derives from French words début and débuter, which had the meaning of lead off. When it comes to the English language debut appeared in it in the middle of the 18th century. Today, debut is a commonly used word in both written and spoken language.

Definition of debut:
1. noun – performing in front of the public for the first time;
She often performs in front of her friends and she usually does a great job, but today it will be her debut on a professional stage so she’s very nervous about it.
2. verb – to appear for the first time, e.g. on a stage;
She will debut as a film director and everyone expects it to be a great piece of art.

Expressions and phrases with debut:
A few common phrases and collocations with debut are: official debut, professional debut, and debut novel.
It’s going to be a big night for her as she will make her official debut as the lead singer of the band.
So far she has only played some minor roles in a local theater, but this play will be her professional debut.
He is a really good journalist, but this piece of writing is going to be his debut novel, which is something completely new to him.

Incorrect spelling, explanation: debut is a short word, but still, however, it causes some trouble when it comes to its spelling. Because of the French origin and a French-like pronunciation, many users of English think that the word ends with the -e letter and they spell debut as debute, which is incorrect.