I was signed up with therapyq once and ever now and then I go to the website to look at the picture of the counselor I was assigned to. She has changed it recently and I thought like you, that it is not flattering at all any more. What was effectively a picture of her upper body, head, headspace etc. Is now a picture of only her face. Cropped, (which as a photographer makes me cringe anyway, lol) and therefore less clarity and quality. And the top space behind her head is BLACK! And her eyes look really funny now too as if someone has tried to sharpen them with a photo editing software. Absolutely a change for the negative.
So I thought well, I should go to her actual practice website (where she had the same changed picture now!) and send her an email and tell her that I think it's not flattering at all.
I didn't because I think it's none of my business any more. BUT, if I was still her client on therapyq, I would absolutely tell her. It made me uncomfortable seeing her new picture. I wouldn't want that in my head. And again, my photographer thing comes to mind - a picture is not just a picture when it represents someone people interact with daily. It's ok to give feedback on pictures, it should be ok. It's not like you are criticizing her, it's that picture you criticize. Online counselors should be especially open to comments on how a picture comes over, because it is the first (and lasting) impression a client gets of a part of their character.

Only my opinion though..