It was your characterization of a slave with no control over her own life as somehow wanting to have sex with a stranger to comfort him that I find so laughable. It's a boy's fantasy, totally disconnected from the reality of slavery. Now if you want to view this as a fantasy space opera, fine, that kind of character fits right in. But people try and make Star Trek be about something, ideals and values, and if you view it through that lens it's quite a different story.
Just to be clear I don't fault Kirk at all, but any nobility on his part was about trying to escape and save his ship, not about "love" for this woman.