She is a famous jJapanese artist.

I love her because I calm down thatwhen I listen to her music.

pPlease listen to her music.

"listen" = pay attention to what you hear. But it does not show where you are focusing your hearing, so we add "to".

She is a famous jJapanese artist.

Nationalities are capitalised.

Since she is 1 artist, you need an "a" here.

I love her because I calm down thatwhen I listen to her music.

pPlease listen to her music.

She is a famous jJapanese artist.

I love her because I calm down thatwhen I listen to her music.

pPlease listen to her music.

She is a famous jJapanese artist.

I love her because I calm down that I; listening to her music soothes me.

please listI can't recommend her musicenough.

「Please listen to her music」はもちろん元の文章が文法的に間違ってませんが、より自然なバリエーションとして「大変おすすめです」という決まり文句を提案させてください。

My favorite artist is Aimyon.

Artist is not incorrect, but it is a very broad term, painters are artists too. It's clearer if you say singer. But you can keep it as artist here and clarify in the next line.

She is famous jJapanese artistsinger.

Nationalities are capitalized.

I love her because I calm down thatwhen I listen to her music.

You could also say "I find her music very relaxing"

pPlease listencheck out her music.

If you want to use "listen", it should be "listen to". I think "check out" is a nice way to suggest listening to her music.

She is a famous jJapanese artist.

Countries are usually capitalized like "Japan", even if they're adjectives. Like "American" or "Canadian".

I love her because I calm down thatwhen I listen to her music.

pPlease listen her music.

She is a famous jJapanese artist.

I love her because I calm down thatwhen I listen to her music.

Alternatively, "I love her because I feel calm when I listen to her music".

pPlease listen to her music.