I've heard different opinions about bringing critique about the therapist's style and approach already during intake sessions.

In my case my presumptive therapist asked me in the second session if there was something I wanted to say about last session and how it went. This is part of their intake process.

I told her and I had also written down some things which she read. But then I read about a therapist who thought it's too early to criticise him/her during intake sessions. I don't know when it's seen as appropriate according to some "therapeutic standard" but perhaps getting the question I got about what I thought about last session is a way to sort out patients they don't want.

Within public healthcare I feel a client needs to be careful about what he/she says about a therapist and the care in general as some therapists surely don't want clients that won't just adapt to their model of doing therapy. In such cases therapy loses important parts as honesty can't be practised and the client can't know what's allowed to say or not.

I think that clients should tell a therapist how they feel about them and that a skilled therapist will then have different methods and ways of relating so they can better adapt to the clients' needs. But I think it's more common that what therapists rather want is clients that don't "complain" and don't say much about the therapist or the process itself.

I've though read a lot of examples directly from therapists who welcome feedback and try to emphatise with the clients even if the feedback is negative. Those therapists have all worked within private practises and often they did a huge amount of sessions before getting their license, perhaps that affects how they are able to handle criticism.