New answers tagged semicha
An Orthodox seminary will not accept a candidate who is currently married to a non-Jew. (Nor would I expect any rabbi to convey personal semicha to such an individual.) If she has converted, or the applicant is no longer married to a non-Jew, then the seminary would consider the particulars of the applicant's situation.
Rabbi Moshe Feinstein ruled that a woman may be appointed as a mashgicha. See 2 teshuvos beginning here
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