Gee, it's funny that Dolly Parton, Billie Joel, Bruce Springsteen, Ringo Starr, Billie Joe Armstrong, Stevie Nicks, and a host of other people who actually are huge stars completely disagree with you. Dolly Parton calls her the best song writer of her age. I'm thinking Dolly knows a little bit more about it than you do....
Swift has written 54 songs entirely on her own, which is more than many, many other people in her industry who routinely co-write with others. There's nothing wrong with co-writing songs. It's a common practice, but her album Speak Now is comprised entirely of songs she wrote on her own.
She's never claimed to be a great dancer. In fact, she makes fun of her own dancing in the video for Shake It Off.
Oh, and besides playing the piano, guitar and banjo, she can also play a 12 string guitar. When you're telling disparaging stories about a woman that have no actual basis in facts, it is indeed misogyny.