I agree. It sounds as tho you are making your (honest) mistake HER fault.
She's tightly wound. Do you have any idea what may be going on in her personal life? And I'm sure your attitude isn't helping her either.
Mistakes happen, there's no question that you made an honest mistake and were trying to fix it. Own it and move on and learn from it.
You don't sounds as tho you like the position much anyway.
New job is ok - learning curve - if I don't pass probation in 3 months, I can look elsewhere, there are jobs around.