It depends on the context, but I'd say "그는 고기를 먹으려 하지 않았다"^^/ I think that he must be an vegetarian or is going on a diet.^^/ For example, I begged him but he wouldn't eat meat = 나는 그에게 간청했지만 그는 고기를 먹으려 하지 않았다. = I begged him but he refused to eat meat. Here are other suggestions, 1) I am pretty sure that he wouldn't eat meat. = 나는 그가 고기를 먹지 않았을 것이라고 확신합니다. 2) If he was you, he wouldn't eat meat. = 만약 그가 너라면 그는 고기를 먹지 않을 것이다. 3) He wouldn't eat meat. = 왜 그가 고기를 먹겠어요(it's not gonna happen because it's very obvious) 4) I wish he would not eat meat. = 그가 고기좀 안 먹었으면 좋겠어요. \^o^/

Yes..in this case "would not" could mean 2 different things, which is all inclusive in English. But if you want to translate this into Korean, you would have to use one or the other. For example: He would not eat meat (In the context that you are assuming this) : 그는 고기를 먹지 않을 거에요 (He is not going to eat meat). He would not eat meat (You've already asked the person if he would like to eat meat, but he refused) : (내가 그렇게 말했는데도) 고기를 먹지 않더라구요. (Even when I asked him) he didn't eat meat. I hope this helps :D

그는 고기를 먹지 않았을 것입니다.