but does anyone think there’s anything inherently wrong with having a female Rav? If so, what?
The Shulchan Oruch, in Choshen Mishpat 7,4, succinctly states:
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In the Bais Yosef he brings as his source three different Gemorahs that all say some variation of:
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Also see the Rambam, (brought down li’halacha by the Aruch HaShulchan CM 7, 4 and the Igros Moshe YD Chelek 2 Siman 45) who writes in Hilchos Melachim 1,5:
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As has been pointed out numerous times, appointing female clergy is far from the only issue with so-called Open Orthodoxy. But I do think it is telling that their most visible departure from tradition is so obviously against Halacha.