It's embarrassing for the brothers, not simply because a woman is doing it, but because all you have to do is put two and two together to now know that this brother was reproved for some "sin". What was a private matter now all of a sudden becomes congregation gossip.
I was privately reproved once and was way too embarrassed to decline conducting a field service meeting or a closing prayer so I just went ahead and did it, all the while feeling doubly guilty. Then you have scenarios where you began avoiding field service all together simply out of fear that you might be the only brother there. Then your F.S. time declines and it's a vicious downward spiral of guilt from there.