The thing about socialization is picking the right place and time to go. A busy market for an "iffy" dog is way too much stimulation. Sorry, but you were at as much fault as the woman who let her child hold the leash. Two parts to what could be a disasterous meeting.

With an iffy dog, you need to pick a quiet time to take her out. Perhaps early morning before anybody else comes. Just the two of you and her learning the space. Then the two of you and a few strangers. You slowly move to a crowded environment complete with kids and other dogs. Thats more or less graduation for her, not a beginning quiz.

I can guarantee that the woman is asking everyone this "WHY does she bring an aggressive dog to the market?!?!" Because I know I'd be asking the same question.

I take Callie to our farmer's market every Sunday.... but it took me a while to trust her to be able to handle the event. She's a jumpaholic, and I didn't take her until I knew I could count on her responding to my cues despite the temptation. Its a LOT of work for me to stay focused on her, watch what others are doing, and keep an eye on everything.