Answer by taking a quote from the following article:

Rudolf Nureyev was born on a Trans-Siberian train near Irkutsk, Siberia, Soviet Union, while his mother, Feride, was travelling to Vladivostok, where his father Hamit, a Red Army political commissar, was stationed. He was raised as the only son with three older sisters in a Tatar Muslim family. When his mother took Rudolf Nureyev and his sisters into a performance of the ballet Song of the Cranes, he fell in love with dance. As a child he was encouraged to dance in Bashkir folk performances and his precocity was soon noticed by teachers who encouraged him to train in Saint Petersburg.

Rudolf Nureyev did not have much patience with rules, limitations and hierarchical order and had at times a volatile temper. He was apt to throw tantrums in public when frustrated. His impatience mainly showed itself when the failings of others interfered with his work. He socialized with Gore Vidal, Freddie Mercury, Jackie Kennedy Onassis, Mick Jagger, Liza Minnelli, Andy Warhol, Lee Radziwill and Talitha Pol, and occasionally visited the legendary New York discotheque Studio 54 in the late 1970s, but developed an intolerance for celebrities. He kept up old friendships in and out of the ballet world for decades, and was considered to be a loyal and generous friend. Most ballerinas with whom Rudolf Nureyev danced, including Antoinette Sibley, Gelsey Kirkland and Annette Page, paid tribute to him as a considerate partner. He was known as extremely generous to many ballerinas, who credit him with helping them during difficult times. In particular, the Canadian ballerina Lynn Seymour - distressed when she was denied the opportunity to premiere MacMillan's Romeo and Juliet - says that Nureyev often found projects for her even when she was suffering from weight issues and depression and thus had trouble finding roles. Depending on the source, Nureyev is described as either bisexual, as he did have heterosexual relationships as a younger man, or gay. He had a turbulent relationship life, with numerous bathhouse visits and anonymous pickups. Nureyev met Erik Bruhn, the celebrated Danish dancer, after Nureyev defected to the West in 1961. Nureyev was a great admirer of Bruhn, having seen filmed performances of the Dane on tour in the Soviet Union with the American Ballet Theatre, although stylistically the two dancers were very different. Bruhn and Nureyev became a couple and the two remained together off and on, with a very volatile relationship for 25 years, until Bruhn's death in 1986. In 1973 Nureyev met the 23-year-old American dancer and classical arts student Robert Tracy and a two-and-a-half-year love affair began, eventually, Tracy later became Nureyev's secretary and live-in companion for over 14-years in a long-term open relationship until death. According to Tracy, Nureyev said that he had a relationship with three women in his life, he had always wanted a son, and once had plans to father one with Nastassja Kinski.

did he ever get in trouble for his temper?
He was apt to throw tantrums in public when frustrated. His impatience mainly showed itself when the failings of others interfered with his work.