It is understood Kidd did not have a recommendation from the women's forum and therefore was free to vote as she chose.
"I apologise to all of you if I have not represented the best interests of women in sailing," Kidd has written to forum members. "Personally I was very torn. I am certainly willing to change my vote in support of the RS:X [windsurfers] for the November meeting if that is the will of the forum."
In November, windsurfing has a chance to restate its case. However, it's understood it must win 75 per cent of the council vote to regain its place. That would be at the expense of kiteboarding, rather than alongside its fellow boardsport.
Kidd also revealed that the council had asked ISAF president Swede Goran Petersson to approach the International Olympic Committee (IOC) to check whether two more medals might be available to the regatta in Rio, once it became clear the rival board disciplines "did not want to put one up against the other".
Petersson, who is an IOC member and "currently has some influence", Kidd wrote, refused as he doubted he would be successful.
Had the vote been delayed until November "we would all have more information ... to make a decision".
Spain, Venezuela and Israel have already voiced anger at the process used by the ISAF, which is facing accusations of acting precipitately, catching the sport offguard in taking the vote which tossed windsurfing out.