As much as I hate to admit it, I've been lying to my therapist.
Are you serious? Why have you been lying to them?
I feel like she's copying some of the things that I do and it's annoying.
It sounds like your therapist is frustrating you. If you're not making progress or feel like they aren't a good fit for you, then you should find a new one. You need to feel comfortable with your medical providers.
I don't hate her, I just don't like her.
If you don't like her, then it's completely appropriate to switch to a different therapist. You're not going to hurt her feelings.