In my experience so far, women are generally more comfortable with the whole thing, some to the point of almost ecstatic excitement lol. As the others have mentioned above, for those who already know you respect is based mostly on your conduct and manners etc., so that shouldn't really change too much for most when you come out.., but even in this group I've found women seem to be the most comfortable with the situation in general. As for those who don't know you but end up knowing for one reason or another, the reactions seem to be a bit more polarised, again women seem to be the most ok with it in my experience.
I had a really nice experience telling one girl today, it was a workplace situation but we work for different companies, we've never spoken before and she recently started working in a similar area to me, so I thought I'd better let her know why I use the same bathroom as her etc.. when I told her she almost immediately hi-fived me (lol) and was ridiculously excited about it, we had a great chat, a big hug and we're now friends lol.. I wish it went like that every time!
Disclaimer: I haven't come out to lots of people yet as I'm working away from most friends and family at the moment.. I will be coming out to them as soon I go back, I won't have a choice, the changes are getting so obvious now.. Anyway, so my sample size is still limited, like only a dozen or so people so far.