In general it seems you're being way too results-oriented. Someone showing a bluff should not tilt you at all. You should probably note somewhere the circumstances of the bluff and that they are capable of the move, but it should not upset you, it's part of the game. Also when your bluff gets called you shouldn't be upset if it was a profitable bluff in the long run. Now determining if it is is way more advanced than can be explained in a simple post and comes with a lot of experience.
+1
Novice players frequently misunderstand what a bluff really is - it's creating a coherent story regarding your hand, using your betting pattern/sizing and what's occurred to that point in the hand at the table, and what you think your opponent is likely holding, that your hand is strong enough to take down the pot when your hand doesn't have a good chance of winning the pot. The story needs to hang together, which requires some planning at the beginning of the hand (many novices think the bluff starts on the river, but they're wrong).
Since it's a story, you have to make sure the story makes sense. If it doesn't, your bluff won't work. Also, you need to make sure whoever you're
bluffing is capable of paying attention to the story and understanding it - if they don't get the story, or don't even realize you're telling a story, there's no point in bluffing. There are bluffs that will work on advanced players that cannot work on novice players, simply because the novice won't understand the story. There are other bluffs that will work on a novice that an advanced player would never fall for.
Note that the story you're telling applies to all
hands in poker, not just to bluffing. Getting someone to pay off your absolute nuts hand requires you telling a different story - i.e., you're "bluffing" having something that's not the nuts.
Many novices don't realize the importance of the story, and only rely on the cards. When you hear people say "play poker, not cards", or "play the player, not your hand", this is part of what they mean.
When zach says it's part of the game, in a sense it IS the game.