Tannenbaum is the only recurring character in the 2nd game and she's cut from the game in like the first 3 levels, lol.
If I get Bioshock 2 will it leave me clueless on whats going on if I haven't played through Bioshock 1?
Only really good for back story, you won't be clueless if you get the basic details, you know, underwater ruined city that's infested with drug addicts.