Bandit LOAF said:Hmm, doesn't she die in the last episode? When the Kilrathi dreadnought hits the base?
I think you can certainly make this argument, as Thrakhath's Bloodfang seems to be the only fighter that escapes (at least it seems pretty likely that it's the Bloodfang, since we know for sure Thrakhath couldn't have kicked the bucket yet).
However, I don't think it's explicitly shown that the princess goes up in flames. We actually don't see anything except for a big fireball over the pyramid. So I think it very well could have been possible for the princess to have been reintroduced in a later episode, if there had been any later episodes.
I don't think it's really settled, but yes, I agree that the preponderance of evidence seems to suggest that she does die. Of course, being a cartoon, they aren't going to show a bloody death sequence involving lots of exploding Kilrathi body parts...