Yeah, the added flat fifth really isn't a Western European thing, that's what made it different, cool and appealing. Also the shuffle rhythm.
But if you listen to a lot of blues, play a lot of it, play with other blues players, etc. You will notice there's a vocabulary, idioms, etc. You can learn them by ear. You can call them by names of songs or players (Bo Diddley beat), or by the number of bars, ... Well, all of that is kind of - theory. Also, knowing which things you wouldn't play because they don't fit the style, that's also theory.
But if you listen to a lot of blues, play a lot of it, play with other blues players, etc. You will notice there's a vocabulary, idioms, etc. You can learn them by ear. You can call them by names of songs or players (Bo Diddley beat), or by the number of bars, ... Well, all of that is kind of - theory. Also, knowing which things you wouldn't play because they don't fit the style, that's also theory.