I just had a quick look and Kirk's woman in the episode also bares her navel. She doesn't look "whitey-white" but she's not black either.
According to IMDB.com, Barabara Luna is "of Italian, Hungarian-Jewish, Spanish, Portuguese, and Filipino heritage."
I've seen her play everything from Mexican to Asian.
I know so many Germans that insists on saying that their dubbing is better than the original voices...
But we are good learners 

Well, I didn't assume that. But it could have been entirely possible that Star Trek just never made it's way into Swedish television, couldn't it?