Kapoor sits next to Karama, because Brenok invited her to the briefing. Usually she's not there at all and Ya'val sits in that chair. And she was invited, because their new mission involves the Federation.
To clarify: Jeto is a woman
And as for "run-in with the Cardassians"
The Shadow of the Order wrote:
She had never had to face a Cardassian in her life and she never wanted to. Not even one.
Didn't explain much, did it?