Her questions seem inappropriate. Also, she needs to get out of the terp "helper" mindset. Her job is to facilitate communication, not "help" you. She needs to learn to accept her consumers as she gets them, not as she wants them.
Yes, you should discuss your signing preferences with her. If she's a true professional, she should welcome your suggestions and requests.
The first few classes together are sometimes awkward but should smooth out as you both get accustomed to each other's signing styles, negotiate signs to fit the curriculum, and become familiar with the instructor's teaching style.
