Why do you need a recommendation letter from your “French teacher who is from France and speaks English with French accent” to prove that you can teach English in France?
She experts in the French language, not the English language.
It may make sense if she says that you speak French with certain accent. But it doesn’t make much sense for her to judge your English.
And you said you really don’t have Chinese accent when speaking English. So, suppose that you speak English with Western Canadian accent, which may be a preferable accent over any kind of Asian accents, there must be tons of other people who can prove that for you, right?
Having preferable accent is another issue, though.
Westerners like to make fun of Indian accent or Chinese accent, but they think Arnold’s Austrian German accent is cool, and they make the guy a movie star and a government official.
A bunch of double standard hypocrites.