Correct sentence

Grammatically it seems fine. I don't really understand the meaning though. What context are you using this in?

It looks like a question to me so I'd prefer

Which girl did never eat chocolate...?

I don't like the "for being anxious" part.

The only time this would make sense is if someone said "Look! Over there is a girl who never ate chocolate for anxiety and never ate lettuce for... [whatever it was that I can't see in the original post.]"

And someone answered, "Oh really? Which girl never ....?" It would require such a bizarre context that it's hard to believe it would

Grammar GeekI don't like the "for being anxious" part.

I am with GG. The whole construction gave me a feeling of breathing through a stuffed up nose because from a logical and grammatical point of view:

1) If we are making a general reference, “which girl never ate…” sounds like running one’s fingers on chalkboard to my ears.

2)

Anonymous... if this sentence is correct: which girl never ate chocolate for being anxious...and lettuce for vanity?

Not exactly correct, no. Assuming you are making a mild rhetorical plea to overlook certain behaviors which girls may feel guilty about, I think you need something like this:

What girl has never eaten chocolate [for

Ah, I see Jim.
Like "Who among us hasn't at sometime done this." That would make sense.

Regarding the chocolate, must one feel anxious to enjoy it? I thought it was simply another major food group.

Grammar GeekI thought it was simply another major food group.

There are others?

Yes, it's important to get your grains as well. Beer covers that.

Don't forget your fruit.

Vodka & orange.

Pimms Cocktail - the easiest way to get 5 per day in the summer.

The list is endless.