This is one of those perennial questions, and it came up again the other day so I thought I would summarize the issues. For more detail, see my commentary (pages 170-173).
Paul urges Timothy to insist that an elder is above approach. What this means is laid out in the following verses, and one of the requirements is that he is “a man of one woman,” or, “a husband of one wife,” mias gunaikos andra. What does this mean?
1. Some hold that it means an elder must be married. But the force of the construction places its emphasis on “one” (because of its location at the beginning of the phrase), makes Timothy and Paul ineligible for eldership, and runs counter to Paul's preference for celibacy.
2. Some hold that it is a prohibition against polygamy, i.e., married to one at a time. This argument is stronger than one might suspect from its near universal rejection. However, while polygamy was common in Judaism it was not common in Christianity, so it seems unlikely that Paul would have thought to prohibit something that rarely occurred. Also, because the phrase is so unique, one would suspect it has the same meaning but in reverse when applied to widows (who needed to be a woman of one man, 1 Tim 5:9), and there is no evidence of polyandry.
3. Others think that it means the elder must be faithful to his wife. In the modern vernacular, a “one-woman kind of guy.” In fact, I. H. Marshall in his ICC commentary merely lists this as the meaning and moves on, not debating the point.
4. The dominant interpretation places primary emphasis on the “one” and says that being above reproach means he has only been married once. This position divides into two camps, and your position here depends more on your theology of divorce and remarriage than it does on the text in 1 Tim 3.
