Oh geez, that's a shame if you really like her and think she's helping you. I'm a little confused about a therapist wanting to put you on meds. In the US, they're not allowed to prescribe meds as far as I know. Does she want you to see a psychiatrist or is she also a psychiatrist or other type of health professional who is allowed to prescribe medication (medical doctor, nurse practioner, physician's assistant?)

Unless you have a special situation that I don't know about or you have told her that you are specifically planning to harm yourself or other people, the usual psychotherapy laws in the US would not allow her to do anything if you don't want to take meds.

Do you have a primary care doctor or other doctor that you see and have a good relationship with? It sounds like you need some more advice.

Even if I liked a therapist, I would be very worried if they told me that they were "required" to put all their patients on psych meds.