That episode was actually part of 'The New Batman Adventures' and it was entitled 'Chemistry'
No, she's a DC character, specifically a villain from Batman's rogues' gallery.
Uma Thurman
According to official continuity Batman has never married anyone, Although he does have romantic feelings for some characters within his universe, not to mention his two kids, Damian with Talia and Helena with Selena Kyle (Although this was written out of official continuity). There are some instances within the Elseworlds and alternative universes in which he is married. Such as in the Golden Age when Batman was married to Batwoman. Within the DC Animated Universe he does get married (The New Batman Adventures Episode 22 "Chemistry") although this was only for a short time and was reveled to be part of a criminal plot. The Animated Universe also had Bruce engaged to Andrea Beaumont as shown via flashbacks within the movie Mask of the Phantasm.
you are not supposed to!
You have to complete the third mission in the first villain epsode.
Ivy kisses Batman in episode "Pretty Poison", from Batman:The Animated Series.
No, she's a DC character, specifically a villain from Batman's rogues' gallery.
Batman, in some cases Superman (Batman Hush).
I think it was Batman & Robin (1997)
This happened in the episode "Mobile Homer" which is the thirteenth episode of season sixteen.
Yes she is
No, Catwoman does, though.
Uma Thurman
Poison Ivy.
Poison Ivy is Dr. Lillian Isley. She is an enemy of Batman. Her lips are poisonous and she is immune to all poisons. Her best friend is Harley Quinn.
Her name is Harley Quinn (Dr. Harleen Frances Quinzel) first introduced as a villain on September 11, 1992, in the animated series Batman: The Animated Series, later adapted into DC Comics' Batman comic books. As suggested by her name (a play on the word "harlequin"), she is clad in the manner of a traditional harlequin jester. The character is a frequent accomplice and the girlfriend of Batman's nemesis the Joker, and is also close to Poison Ivy, from whom she gained her immunity to poisons and toxins, as well as her advanced physical abilities.
According to official continuity Batman has never married anyone, Although he does have romantic feelings for some characters within his universe, not to mention his two kids, Damian with Talia and Helena with Selena Kyle (Although this was written out of official continuity). There are some instances within the Elseworlds and alternative universes in which he is married. Such as in the Golden Age when Batman was married to Batwoman. Within the DC Animated Universe he does get married (The New Batman Adventures Episode 22 "Chemistry") although this was only for a short time and was reveled to be part of a criminal plot. The Animated Universe also had Bruce engaged to Andrea Beaumont as shown via flashbacks within the movie Mask of the Phantasm.