I did this with another issue and I'm still not sure how it worked out in terms of things with my T. Ultimately, it was my T that was more helpful about that issue than the consult T simply because the issue had gotten so big, I finally told T about it and she was able to link things up or bring forth the needed links for me. I'm sure consult T would have gotten there, it was more the length of time for him to gain my history. I also wasn't sure about the consult T overall. He was much more CBT based which tends to annoy me and I did struggle to keep him bound to the specific topic.

The agreement I had with T was that if we/I thought it was not moving towards a conclusion after 4 sessions with no more than 6 total then she'd want to talk with him to make sure they were working together.

I'm still not sure that some of our current struggles are not coming from the fact that I saw him or that by talking to T about this topic, some of my fears haven't come true.

As for your situation, I agree that someone that specializes in food/body issues could be helpful. I too struggle with binge eating so I know it has so many layers.