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I am a bit unclear regarding the full applications of kavod hatzibbur as it regards women being involved in certain aspects of prayer. I gather that one application of this rule disallows women from being shlichot tzibbur "cantors".
Suppose that there is a minyan, but none of the men know how to read from the Torah. A woman who is present is capable and is a "professional" (meaning, she is extremely competent in reading correctly with no errors or stumbling.) Is there a problem with allowing her to read the Torah? Or does kavod hatzibbur take precedence and we rather have a man read it with someone else reading the notes from a Chumash and having him follow?
What if none of the men present read Hebrew well or understand the trope? Can we allow the woman to read, or do we forego the Torah reading altogether b/c of kavod hatzibbur?