Isn't it the case that men generally are better with spatial awareness and so tend not to have as many minor bumps and scrapes as women? But on the other hand women generally have better peripheral vision and less aggression, so tend not to have the major accidents. And please note the use of the word 'general' here.
But I can't really believe that the bumps and scrapes issue is so bad that it merits separate parking spaces. I think if they introduced it here, I wouldn't be annoyed at any sexist implications, so much as a poor waste of public money. I'm sure the mayor could have found something more important to spend it on.