I think it is a T's professional and ethical responsibility to refer you to a specialist who can help when your issues are outside of their scope of practice and ability to help. Especially when you may have a life-threatening eating disorder, this is serious stuff and she can't just wait around and hope you will get better with her standard therapy. If she says "you need to see an eating disorder professional", then please believe her. Maybe she or your GP can give you some referrals to ED professionals who can help. If you get that under control, perhaps you could return to work with her in areas in which she can help.

Please get help!

I agree with Anne 2.0. Please don't worry about the IVF and becoming a mom until you are healthy.