If I don't agree to the terms of payment for something, and the individual does the work anyway, am I liable for the cost?

A recruiter for a major corporation offered to rewrite my resume. She said it would not pass the initial screening as written. She said her fee was $200. I responded that I would pay $200 if the result was a better resume and I was more competitive. I asked how payment would be made. She replied that she uses PayPal for payment. I responded that I was uncomfortable using PayPal due to previous incidences. For several hours, I received no reply and eventually secured an agreement with a company that specializes in resume writing. About 3 hours after my last message to her, she messaged me with a new resume she had created. I have not responded to her. Am I liable for the $200 even though I had rejected PayPal and asked for alternate payment method? She never gave an answer.