Hm. Not having to deal (nearly as much) with facial hair? Plus.
Girl parts to mess around with and figure out and understand and try out? Super plus.
Slightly different waist to hip ratio? Meh, not a problem.
Girls can get haircuts and wear jeans/shirts/jackets too, so that's not a problem. It probably wouldn't even telegraph.
Loss of some muscle mass? Eh, acceptable loss. I wasn't really using it anyway.
Similar, if slight, increase in general stamina? Also kind of meh but I'll take it.
Being able to still have sex-brain even after climax? Oh yes, this is the big selling point. This is huge. Huge!
Really, changing from biological male to female doesn't need to change all that much. A lot of the things that we take as signaling markers for male/female gender are highly mutable--hair, dress, etc. It's those niggling little bits, the most annoying uncanny-valley parts, that cause so much problem for transgender people--the Adams apple, body hair (coarser and thicker on men, and if you're dark-haired that stuff is really hard to hide without a LOT of very vigilant maintenance), voice range (fakeable, in some cases, but not so much in others), and so on.
So if you WANTED to still present with your born sex as your gender, the pill wouldn't probably cause any kind of issue (unless you identify strongly with things like having a beard, or a booming or tiny voice, etc). You'd mostly just get the elements you can keep private. Barring psychological effects of hormonal cycles (menstruation, menopause, heightened-testosterone-related aggressiveness, etc) you could even keep your personality and affect pretty well intact.
So, yeah. I'll take a month, just to get a full range of the raw data. Less than a month is just a joyride. More than a month is more of a commitment than my girlfriend would probably be willing to tolerate me undergoing, and her opinion matters in such things.