These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Awesome Art: J. H. Williams III earned two Eisner Awards for his work in the initial Detective Comics run, and later won an Inkwell Award for the titular series. There's a buttload of amazing two-page spreads with outstanding panel layouts.
Complete Monster: Maro, introduced in #6. He purposefully drowned the children of Maria, the woman who would go on to kill herself and become the Weeping Woman, because his magic relies on the power of belief. Because people believe in the legend of the Weeping Woman, Maro intended to use that to keep Maria from passing on after she inevitably killed herself and transform her into the urban legend, and she would go on to steal and/or kill more children.
Executive Meddling: Apparently J.H. Williams III did not want to do Batwoman #0, but was told he had to in order to increase the reader base. Likewise, Williams wanted to do a villain issue for "Villains Month" only to have cancelled. It eventually got too much for him and Blackman, with the final straw being DC saying no to letting Maggie and Kate get marriednote both Williams and Blackman deny that DC's refusal to let the two marry had anything to do with anti-gay bias, and instead say it's a general extension of DC's anti-marriage policies that have lead to Lois and Superman's break up, among others, and the openly gay Marc Andreyko is taking over the title, so the two are now leaving the series.
Internet Backlash: DC's refusal to let Kate and Maggie Sawyer get married, even though both had been openly lesbian for years now caused some BIG backlash on the internet and lots of accusations of Double Standard and homophobia. It was made even worse when it turned out that this had led to the current creative team quitting in disgust.
Schedule Slip: The first issue of her new series was originally supposed to be released in February 2011. It was pushed back to April, and then to September as part of DC's company-wide relaunch.
Seasonal Rot: Some feel it set in when Greg Rucka left the book, but many felt Blackman and Williams did a good job continuing the story. Most will agree that those two leaving the book is where it went downhill. J.H. Williams's III art is sorely missed, breaking up Maggie and Kate is almost universally agreed upon as bad, and the conclusion to Mr. Bones's arc was rushed after being delayed for four months. Subsequent arcs by Marc Andreyko feel inferior both to the previous Batwoman issues as well as his other work. Finally the current stories feel rushed with numerous villains and plot points all vying for attention with little build up while other stories, like Killer Croc and the heroic Religion of Crime sect, have been dropped.
Batwoman was initially touted as one of the main characters in James Robinson's Justice League spin-off book Justice League: Cry for Justice, and was heavily featured in promotional material for the book and even got a spot on the first cover. When the book was shortened and turned into a mini-series thanks to a decision from the higher-ups, Batwoman's appearances in the title were regulated to scattered cameos and a brief supporting role in the fifth issue. The writer later apologized for performing an unintentional bait-and-switch on fans of the character.
Likewise, had Greg Rucka stayed with the book he intended to address the consequences of the repeal of DADT, including finding out who had reported Kate back when the policy was still active, and have Kate grapple with the possibility of returning to the military as an out soldier. Alice's origin would have also been addressed, along with revealing whether or not she'd survived the plunge into the river.
Williams and Blackman's run has also boiled down to this trope, due to them leaving DC and their final two issues being scrapped. Alice's origin would have been delved into, as would that of Director Bones (and clarifying whether or not he was related to the Kanes). Kate and Maggie were also to move further in their relationship and get married, which was a point that DC forbid and that lead to the writers' departure. While their story was concluded in an Annual, they have both made it clear that the Annual was not their ending.