Breaking a fixed term lease.

Hello! I’m moving out of my apartment on October 3rd. Under the signed agreement between the landlord and I, the early termination fee is the equivalent of one month’s rent which is 1000 dollars, with no clause or mentioning that I must provide 30 day notice. Upon emailing her that I’m vacating, she said that under the signed lease agreement I would have had to give her 30 days notice, and that I would be paying all of October along with the termination fee on top of that. I have read and reviewed the signed agreement and it only states the early termination fee, with no notice, not even a thirty day notice. Would she be still be in the right? Or would her word not be legal because it’s not in our signed agreement?