This is a difficult question really. I mean the whole "It's an endangered species" or "It's ethically wrong" but would you eat it debate. The reason being that as someone who went back to eating meat after being vegetarian for some time I did so because I came to the conclusion that:

Regardless of whether you eat it or not, the food industry is too big to be harmed much by the lack of demand. Lack of demand just means that regardless of how many animals are bred, slaughtered and simply thrown away after going bad the industry will continue at the same rate it ever did. Therefore is it not better to eat the meat and make sure that the creature did not die in vain? Is it not better to eat the meat because people out there in the world are starving to death right now and it's a terrible waste to sit here in our comfortable homes and secure lives letting such a huge amount of food, far more than enough to feed these starving people go to waste each week?

However, we're talking an ethically wrong food such as whale meat, shark fin soup etc things that whilst yes the industry is too big to stop and will continue regardless of demand are not ethically sourced, you do not see people setting up "Shark farms" where sharks are bred and then slaughtered for food like we do Chicken, Cow, Deer, Pig, Buffalo, Ostritch, even Alligator or Crocodiles. We're seeing something quite brutal and tragic because in the end it could well destroy our ecosystem and make entire species extinct.

This is a tough decision, refusing to eat this meat won't necessarily save future lives of sharks or whales and so forth. However, eating it means that people will interpret your actions as being complicit with the industry that makes it.

Personally I don't know.

As for have I ever been so disgusted that I left a dinner table because of what someone was eating? No, I haven't I doubt I ever would to be honest unless someone pulled out a hunk of roast human.