2 year daughter likes her dad more than her mother?

My 2 year old daughter prefers her dad for everythign and shuns me even when I offer to play, change her diaper, snuggle, read a book. It really hurts my feelings. Plus, it's always been this way ever since she was born. She says things like "Go away" "I want daddy". Is it becase I work? We both work! Now that we have a second child and I have to focus on the baby it just cements my 2 year old goign to her daddy for everythign. It's like I don't exist. Am I being an idiot? I feel like if I died she woudn't care.