Question: What music video from Lady Gaga's second major release was both positively reviewed and highly controversial?

Context articles: Fame Kills: Starring Kanye West and Lady Gaga
Nurds
So Happy I Could Die
Tony Bennett and Lady Gaga: Cheek to Cheek Live!
Lady Gaga videography
Judas (Lady Gaga song)
List of number-one dance singles of 2010 (U.S.)
Alejandro (song)
Teeth (song)
The Jody Grind (band)

Fame Kills: Starring Kanye West and Lady Gaga was a planned co-headlining concert tour by American rapper Kanye West and singer Lady Gaga.
 For the tour, which would have supported West's fourth album "808s & Heartbreak" (2008) and Gaga's "The Fame Monster" EP (2009), the pair conceived a production that would unite their different musical audiences.
 The tour was scheduled to run from November 2009 to January 2010, but was canceled after public controversy regarding West's interruption of Taylor Swift's Best Female Video speech at the 2009 MTV Video Music Awards.
 Shortly after the cancellation, Gaga embarked on her own tour, The Monster Ball Tour, while West took a break from his career.
Nurds is the second studio album by the folk trio The Roches, released on Warner Bros.
 Records in 1980.
 It was positively reviewed although not quite as highly as their first album.
 The "Rolling Stone" review noted that they were "not just entertaining but downright terrifying".
 It was successful enough to chart at No. 130 on the "Billboard" 200
"So Happy I Could Die" is a song from American singer Lady Gaga, taken from her second major released and her third extended play, "The Fame Monster" (2009).
 It was written by Gaga, RedOne, and Space Cowboy, with production helmed by RedOne.
 Inspired by Gaga's fear of what she described as the "Alcohol Monster", the song is about the influences of alcoholism, and also explores several sexual themes in its lyrics as well as liberalism.
Tony Bennett and Lady Gaga: Cheek to Cheek Live!
 is an American concert television special featuring live performances by Tony Bennett and Lady Gaga in support of their collaborative studio album, "Cheek to Cheek", released in September 2014.
 It was held at the Rose Theater of Lincoln Center for the Performing Arts in July following the announcement of the album's release, and was aired on PBS on October 24, 2014, as part of the network's "Great Performances" series.
 The concert was watched by an audience consisting of invited guests and students from New York schools.
 Bennett and Gaga were joined on stage by 39-piece orchestra and jazz musicians associated with both artists.
 A number of costumes were worn by Gaga, provided by designers including Roberto Cavalli, Michael Costello, Mathieu Mirano, Valentino as well as David Samuel Menkes.
 The special received one nomination at the 67th Primetime Emmy Awards.
American singer Lady Gaga has released three video albums and has been featured in twenty-eight music videos.
 From her debut album "The Fame" (2008), she released music videos for the singles "Just Dance", "Poker Face", "LoveGame" and "Paparazzi".
 In the latter, she portrays a doomed starlet taking revenge on her lover.
 She reissued her first album as "The Fame Monster" (2009), preceded by a music video for the lead single "Bad Romance", which won a Grammy Award for Best Music Video and seven MTV Video Music Awards, including Video of the Year in 2010.
 The following year, Jonas Åkerlund directed the music video for "Telephone"—a continuation of "Paparazzi"—which was shot as a short film.
 The video received an MTV Video Music Award for Video of the Year nomination, and was named the Best Music Video of the Decade by "Billboard" in January 2015.
 For her 2010 video "Alejandro", Gaga received positive review from critics, though she was criticized by the Catholic League that alleged blasphemy.
"Judas" is a song by American singer Lady Gaga, from her second studio album, "Born This Way" (2011).
 It was released four days ahead of schedule by Interscope Records on April 15, 2011.
 Written and produced by Lady Gaga and RedOne, "Judas" is a dance and electro house song about a woman in love with a man who betrayed her.
 It embodies the incidents that have haunted Gaga in the past, and its core meaning refers to the negative parts of her life that she cannot escape.
 Gaga has further explained that the song was also about honoring one's inner darkness in order to bring oneself into the light.
 The artwork for the single was designed by Gaga in Microsoft Word.
 In spite of a polarizing impact on several religious groups, the song was generally well received by critics, who likened the song to "Bad Romance" with some noting it should have been the album's lead single.
Beyoncé and Katy Perry were the only artists to achieve three number one songs in 2010; the former with "Why Don't You Love Me", "Telephone", a collaboration with Lady Gaga featuring Beyoncé, and "Video Phone", another collaboration between the two, but with Beyoncé featuring Lady Gaga.
 Perry attainted three number one songs with "California Gurls", a collaboration with Snoop Dogg, "Teenage Dream", and the promotional single "Peacock".
 Gaga and Rihanna were the only artists to top the chart four times each.
 As well as "Bad Romance", "Telephone" and "Videophone", Gaga also reached number one with "Alejandro".
 Rihanna topped the chart with "Russian Roulette", "Hard", a collaboration with Jeezy, "Rude Boy", and "Only Girl (In the World)".
 Goldfrapp's "Rocket", which peaked at number one on May 1, ranked at number one on the 2010 Hot Dance Club Songs year end chart.
"Alejandro" is a song by American singer Lady Gaga.
 It was released as the third single from her third extended play (EP) and second major release, "The Fame Monster" (2009).
 Co-written and produced by herself and RedOne, the song inspired by her "Fear of Men Monster", the lyrics portray Gaga bidding farewell to her lovers.
 Musically, it is a mid-tempo synth-pop song.
"Teeth" is a song recorded by American singer Lady Gaga.
 The track appears on "The Fame Monster" (2009), her second major release and her third extended play.
 The song was written by Gaga, Taja Riley, Pete Wyoming Bender, and Teddy Riley, and produced by Gaga and Teddy Riley.
 It has an oral theme and has been called a "perverse" march and an ode to sadomasochism.
 "Teeth" peaked at number 107 on the UK Singles Chart and received a mixed reception from critics.
 Gaga performed the song during The Monster Ball Tour.
 In 2013, Riley sued Gaga for US$ and punitive damages over the songwriting credits, saying he was not given 25 percent of royalties as he had been promised.
The Jody Grind was a band from the Cabbagetown neighborhood of Atlanta featuring Kelly Hogan (vocals), Bill Taft (guitar), Walter Brewer (drums) and Robert Hayes (bass).
 The band's debut album, "One Man's Trash (Is Another Man's Treasure)", met with some local success and was positively reviewed by Michael Stipe of R.E.M. on his blog.
 Shortly after the 1992 release of their second album, "Lefty's Deceiver", Hayes and new drummer Rob Clayton, along with Atlanta performance artist and poet Deacon Lunchbox, were killed in a car accident.
 The three were riding in a rented cargo van in Montgomery, Alabama, at the time of the accident, when a drunk driver crossed the I-65 median and struck them head-on.