Is your cat obsessed with you?

Shes a little black and white cat, shes 1 years old, and i recently found her abandoned.. she kept lurking around my house, then one day she just ran in after me. We went around the block ect ect no one seemed to be missing a cat. So we decided to keep her as it was only 2 days before Christmas. She now follows me everywhere, always coming up to me pushing her nose against mine, waiting outside the door for me while im in the shower, and she can't stand me playing with my other cat. While im typing this, shes laying right next to me, watching me as if she knows this is about her haha :) I think its extremely cute. Is anyone else's cat like this to them ? :) xox