Not the OP, but the passage is from Exodus, specifically Exodus 4:24–26.
As for Harold Bloom ... it's been many years, but what I recall is that Bloom's argument that J was a woman amounts to: "Well J has to have been either a woman or a man; but if we assume J was a woman then we aren't continuing to reinforce patriarchal stereotypes." (Or something like that.) Yes, there was a little discussion about J's use of irony, but I don't remember there being enough to make a case. Maybe I've forgotten something important.
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As for Harold Bloom ... it's been many years, but what I recall is that Bloom's argument that J was a woman amounts to: "Well J has to have been either a woman or a man; but if we assume J was a woman then we aren't continuing to reinforce patriarchal stereotypes." (Or something like that.) Yes, there was a little discussion about J's use of irony, but I don't remember there being enough to make a case. Maybe I've forgotten something important.