Okay, I don't know why people think women are more accepting. Let me tell you about a jarring experience.
I've been working at my place of employment for nearly 5 months now. Now, I'm still stealth. I assume some people know (like the office manager, HR manager, and maybe the doctors that work there), but I know for a fact that at least some of them do not. Case in point:
Recently I was hospitalized. While I was in the hospital, a coworker of mine and her daughter were visiting me. We were in my room talking, acting cheerful, etc... when my not passable at all roommate walked in with food. Immediately, the daughter of my coworker shut her mouth and didn't talk the rest of the time. My coworker and I continued to converse, which she didn't seem bothered by anything at all. My roommate said very little.
The day after my next day of work, my coworker called me on the phone. First thing out of her mouth "Okay, WHY didn't you warn me about that roommate of yours? I had to explain that to my daughter!" "I was blushing, so I just kind of apologized and said I wasn't expecting "him" to come (I didn't want to get into the whole transsexual blah blah). She went on to say "I mean the first thing out of her mouth was 'Why did that man have boobs?'.." She went on to make fun of her situation for a good 30 minutes, and honestly I felt the need to go along with it to cover my stealth identity.
The kinds of stuff that were discussed were pretty transphobic to say the least. This all went on behind her back. Now there's a running joke that I have a crossdressing male roommate with huge boobs and when it's brought up in the office, everybody gets a kick out of it (btw I work in an office of about 95% women).
Let me add on another experience. When I was hospitalized, they gave me a bracelet that had an F on it. When I told the people in the ER that I'm trans, they didn't change it. Well, actually they did, but they didn't change it to M. When I got to the ICU, they were asking me why I was on such a high dose of Spiro, and I told them that I'm trans. Well these girls just were so sweet, but their attitude changed completely. It went from let me help you to let me ask you a bunch of questions about your gender ID. After that, they replaced my bracelet w/ an M. I can almost tell you for a fact that that very sweet nurse went to change it because she's not so understanding ... behind my back.
Point is: both sexes seem pretty equally freaked out by us. Men are just more on the table about it.