Whenever I see the scene where Kirk stops the girl from going into the disintegration chamber even though she wants to it seems like the start of one of those "Kirk explains the big, wide universe to alien girl" type stories (ala Gamesters of Triskelion). But there's not even a whiff of romance between them for the rest of the episode, she's actually pretty ticked at not getting to die. It probably wouldn't have been surprising at the time since Kirk's ladies man persona didn't really start until Season 2.