And on Mirimanee's planet too. Kirk didn't have a UT for the months he was living there.
Nobody had a UT in Trek TOS, except for the handheld universal translator in "Metamorphosis" and perhaps two or three other episodes where computer translating circuits were mentioned. The concept of the UT being a commonplace tool didn't exist until TNG
. Before then, we just assumed everybody in the galaxy spoke English. (Well, shouldn't they?)