I also started seeing my long term t at a low cost community clinic, and around the time when myself and a couple of clients were aging out of the clinic T set herself up in private practise. She kept me and two other clients I know of on at the community clinic fees (less than a 1/4 of her private fee),
Here's how I rationalized it: By telling myself t is responsible for her own decisions. She is responsible for her own fees, her own management, her own choices. I took a leap of faith and trusted that if t had a problem with the fee she would address it with me.
Your T accepted the rate of $60. That right there is the only rationalization you need.