The jokes are fine but hopefully by this point it will not be the big deal that she is a she and she will stay professionally focused on her job.
Serious responses are welcome too!
C’mon, give us some profound statements…
I am appalled at the ignorant sexism displayed in this thread. Besides, there’s no way we can have a woman on a moon mission - she might menstruate on important equipment on the way. Also, as is well known, a woman’s cycle is triggered by the phases of the moon. If a woman were to actually set foot on its surface, she would explode in a bloody gory mess.
“Damn, it’s cold here! Where’s the thermostat?”
I need to pee.
Indeed, I was going to post that I’ve had a chuckle or two over the joke responses. But seriously, what would the first woman on the moon say? Of course she will stay professionally focused on her job. Most pilots, no matter how wacky they are on the ground, take flying very seriously. To be chosen to fly a spacecraft is a very notable achievement.
I would hope that would not be too pithy. I’d hate it if her first words from the moon were sexist. I’d love it if she said something like ‘OMYGOD! They’re huge! They’re coming right for us!’ and then cut off the mic. (I believe something like this was suggested in From The Earth To The Moon.) I mean, she’d be on the ground and can lighten up. 
Perhaps a female Doper can tell us what she would say if she were the first woman on the moon?
“Good Luck, Mrs. Gorsky.”
“That doofus Neil Armstrong fucked it up like they tend to do. Now let’s get it right: ONE SMALL STEP FOR A WOMAN. ONE GIANT LEAP FOR MANKIND.”
“Is there a Manolo Blahnik outlet here?”
VCNJ~
“Oh I’m SO not going to the bathroom here”
“Honey, I TOLD you to stop and ask for directions! Where the hell are we now, anyway? There isn’t even a gas station anywhere in sight we can stop at out here.”
I don’t know what the first woman on the Moon will say, and I probably wouldn’t understand it even if I did know. Because with the way the American space program is being run, whatever she says will probably be in either Mandarin or French.
How about a variation on Shepard’s prayer?
“Dear God, don’t let my husband fuck this up.”
Yeah, if I had to meet my fiancee on the moon, she’d be sitting there, pissed off to be waiting, while I was circling Mars.
You misspelled “crater.”
I’d say,
“Huh. Look at that. After all this time… there’s still nothing here.”
“Shing tow bing bok mok fu liang jing hau!”
They havn’t been this perky for twenty years. Don’t hit me!
That’s what I’d say.
I know exactly what a woman would say: “Would you look at that, I’m six times lighter than on earth. No more diets!”