That’s a good question and it’s called ‘Mirror, Mirror’
Well, it is still season one. We’ve got time. 
I then we gotta wait all the way until Next Generation for Tasha Yar. And they put her in pants. Life is not fair.
Not really. I think I’m gonna add that to my repertoire.
Ooooohh…Oops. I’m the nimrod.
Anyway, Security is a tad lax on the ship. I’d fix that by appointing you to the job.
Um, yeah. Again, that seemed much more profound when I was 8.
You’ll see them in future episodes.
Asian women?
Nobody’s Asian. 
I know, I ask too much of the sixties.
Ask not what the Sixties can do for you, ask what you can do for the Sixties.
Off the top of my head two black guys show up later.
Dr. Richard Daystrom and Dr. M’Benga.
Well, there’s a black doctor (with xeno training.) Asian women show up, but as ensigns (hey, you’ve got a recurring male actor already!!1)
Hispanic is a linguistic category, so nobody in the perfect anglophone future qualifies…
I can’t get over what how cool and calm Kirk was when he was in the anti-matter universe (sound stage) there.
He’s like “yup. Here I am. I’m cool. No big thing.”
She paid with her life to wear those pants. Even Armus wouldn’t kill someone in a skirt. :rolleyes:
lol I agree with the whole “hispanic” category, but I really dislike the term Latino, so it’s two options I dislike.