"The Most Dangerous Game" by Richard Connell is full of conflict, most of it external in the form of hunting. This man versus man conflict is the most evident when Sanger Rainsford is being hunted by General Zaroff. Both men are world-class hunters, so the drama and conflict are intense.
At the beginning of the story, Rainsford boldly tells the ship's captain to
[b]e a realist. The world is made up of two classes--the hunters and the huntees. Luckily, you and I are hunters.
This quote implies that Raisnford has no compunctions or guilt about being a hunter who kills animals; in fact, he claims that the things which are hunted are in a completely separate class from those who hunt them.
Clearly he has to rethink this long-held and much-practiced philosophy when the tables are turned and he becomes the hunted. This is one source of internal conflict for Rainsford.
A second internal conflict is probably very short-lived, but he has to decide whether he is willing to kill General Zaroff if he gets the chance. Murder is not taken lightly by civilized human beings (which is, ironically, what Zaroff claims and appears to be), so it had to be something Rainsford was conflicted about. Clearly it did not take him long to resolve that conflict, though, as he kills Zaroff as soon as he has the opportunity to do so.