The problem with this "solution" is that the risk is still too high to bother risking it. Even if the woman is unlikely to assume bad faith (and the likelihood is such, outrage mobs are a minority, even if one with too much weight for its size), nothing guarantees she won't change her mind later and assume that the criticism was because of sexism after all.
And even if one were to believe that that is unlikely too, nothing guarantees that someone else won't think it sexist. For example, I remember some panel with four scientists (three men and one woman) that was discussed in HN a while ago; at some point, someone in the audience (I think she was a journalist) yelled at the moderator to "let her speak"... Even though the scientist herself didn't think the moderator was doing anything wrong.
And even if one were to believe that that is unlikely too, nothing guarantees that someone else won't think it sexist. For example, I remember some panel with four scientists (three men and one woman) that was discussed in HN a while ago; at some point, someone in the audience (I think she was a journalist) yelled at the moderator to "let her speak"... Even though the scientist herself didn't think the moderator was doing anything wrong.