Hi AnxiousGirl, it's really good that you're being open with your T through the emails, and considering doing that more in your session/s as well
And if she's a pretty good T (which she may well be if she's made you feel able to be open to her in emails!!) then she honestly shouldn't be alarmed.
In fact she should be appreciative of you in telling her that!!
And what you're doing/dieting absolutely doesn't make you "bad"!! Telling her just gives her a little more help in knowing the areas you might need more support with.
It's important that she's really understanding how you're feeling and the effects of things on you to better support you right??
So, really well done on being so open!!!

Alison