Does my 14 month old hate me?

No, the poor baby is confused and is having attachment problems. Switching a young child between homes, parents, and caretakers requires a real balance. It is normal for her to cling and not want a parent to leave. It does not mean that baby does not like you. If you caused that sense of hope and security and then took it away even if it was logical to you, baby might not recognize that and fears that if attachment comes it will be taken away. You probably need to spend a little more one on one time and secure your schedule and make sure it promotes total security to baby.