Why is Barbara a thing?
Barbara Kean is a bisexual character from Gotham. Barbara is a former art gallery owner in Gotham City's art district, a former member of The Maniax, Cobblepot crime family, Falcone crime family, and the Leauge of Shadows. The former leader and co-founder of the Sirens, as well as the former nightclub owner of the Sirens and a reformed criminal, who had decided to put her criminal life and. Barbara is a former art gallery owner in Gotham City's art district, a former member of The Maniax, Cobblepot crime family, Falcone crime family, and the Leauge of Shadows. The former leader and co-founder of the Sirens, as well as the former nightclub owner of the Sirens and a reformed criminal, who had decided to put her criminal life and become a legitimate business woman. Category
There’s a lot to love about Gotham. The noire aesthetic, the morally complex female characters peopling the City, and even the show’s self-conscious attempts at camp all have a certain appeal. But one thing Batman’s backstory gets wrong is its depiction of bisexuality. From the first season to the final episode, Gotham’s Barbara Kean embodies . Barbara Kean appears in the television series Gotham , which acts as an origin show to several DC related characters in the years prior to Bruce Wayne becoming Batman. But it becomes clear she has had a troubled past with alcohol and drugs, and is also revealed as the former bisexual partner of Renee Montoya. 
Lesbian Romance on Gotham
Gotham had potential, but it was squandered—especially for Barbara Kean, the latest in a long line of bisexual characters thrown under the bus by network TV. Stand With Free Press. The need for a free and fearless press has never been greater.
Barbara Lee Gordon
Early spoilers about Gotham warned us that Jim Gordon's fiancée Barbara Kean was hiding a big secret and we got a great hint about it during the premiere episode of the show. Major Crimes. Major Crimes Division Officer Renee Montoya came over to Barbara's house to inform her that Jim had helped to frame an innocent man for the Wayne murders and their conversation revealed a bombshell: Barbara and Renee have a history together that's heavily implied to be romantic and there's a good chance Jim doesn't know anything about it. The Gotham preview special revealed that Barbara and Renee had some kind of relationship, but if it's formerly romantic or sexual, if not both is an amazing way to add diversity to the mythos. [No Spoilers] Barbara Kean's Bisexuality
The most interesting element is the addition of a romantic relationship between Renee Montoya and Barbara Kean. It's revealed early on that they were together for a year, before Barbara met Jim Gordon. This development creates a bisexual love triangle between Barbara and her two suitors Montoya and Gordon, each vying for her heart. It was planned by Barbara to escape Gotham with the help of Edward Nygma and Oswald Cobblepot but she couldn't leave after going into labour. At the clinic, Barbara was chased down by Bane but ultimately managed to give birth to the girl with the help of Leslie Thompkins. 
Barbara Kean
People forget that Barbara Gordon's post crisis origin is as Jim Gordon's niece. It was a funny bit of retconning but makes sense to allow Babs to be Batgirl and at the same time keep Gordon as young as he was after the Batman Year one story. .
What Happened Between Barbara Kean & Renee Montoya on 'Gotham
"Barbara Lee Gordon. In this city it's important that; she knows; who she can rely on." —Barbara Kean to Jim Gordon.[src] Barbara Lee Gordon is the daughter of Jim Gordon and Barbara Kean, and the step-daughter of Lee Thompkins, as well as the granddaughter of the late Peter Gordon and the great-niece of Frank Gordon. The girl was conceived during Jim Gordon and Barbara Kean's hook-up in the. . 
Reflecting on Gotham's Bisexual Problem
So if a show is mainly villains and a few of those villains are LGBT (Barbara, Tabitha, Oswald) it is different from a show/movie with only one villain who is portrayed as gay. .