Maybe. What Pub 929 says on that amount depends on whether or not the amount your daughter received was (a) wages (as compared to self-employment) and (b) earned from a church that is exempt from remitting social security and Medicare wages. Your child will not receive a 1099-MISC if the amount is less than $600, (which would be for self-employment), and, if it is self-employment, would not have to file because the amount is under $400 (not $1050. Keep reading below the $108.28 figure to see the self-employment filing requirement).
The question is: If your daughter had received enough income, would she have received a 1099-MISC or a W-2? If a 1099-MISC, she does not have to file. If a W-2, (which she should have received because of the filing requirement mentioned in your question), then the question is if Social Security and Medicare (boxes 2 and 4) have withholding amounts in them. If they do, then she doesn't have to file; if they do not have amounts, she has a filing requirement (which would be on Form 1040).
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