Pretty fantastic little tale I must admit.
Interesting and believable without being over the top, although I have the feeling that you struggled to fit everything into the word limit - the last third or so felt a little rushed and the Doctor doesn't feature at all which is a bit of a shame.
I like how they landed in Cardassian space, particularly that it was a quiet farming region and not some terrifying stronghold with swarms of warships.
All in all a very pleasant and satisfying read that you clearly put quite a bit of effort into, although it seems unfair to compare this 10,000 word tomb with the couple of paragraphs of the other two challenge entries - yes size doesn't matter and quality over quantity, but still...
I've voted for it and I think you deserve to win.