Cover of Detective Comics #710 (June 1997), pencils and inks by Lee Weeks, colors by Patrick Martin
Thanks to Deathstroke (The Terminator Who's Not Arnold™), Batman's trapped in the puzzling paradox known as the Spanish Prisoner...or maybe the Greek Interpreter?...would you believe the Russian Tea Room?!? The only way he can stop a deadly criminal is by shooting him! But Batman has sworn to never use guns! (Not even on a floor.)
Panels from Detective Comics #710 (June 1997), script by Chuck Dixon, pencils by Graham Nolan, inks by Bill Sienkiewicz, colors by Gloria Vasquez, letters by John Costanza
Whoa, he shot the gun right outta the gun's hands! Batman: DEADSHOT. Well, not literally, because that's a whole 'nother character.
So, Batman can shoot a gun, and pretty well. It just makes him feel uncomfortable.
NEXT, IN DETECTIVE COMICS #711: Batman shoots everybody!