I'm torn!

So I'm so torn. I work in health care and I am wanting to go back to school, but I know I will not be able to start until June. A position opened up on a unit that I used to work in at night, so I applied. My current Magee did not take it so well and is giving me a hard time about transferring even though she knows I want to go back to school. She made something up and said that I signed a contract that I would give one month notice. I don't remember signing anything so I went to HR and it turns out I never did sign a contract. I had another interview with the local college with their women's health clinic on campus and they really want to hire me. Do I stay with the company and try to transfer or do I just give my weeks and walk away from them?