I don't know if you're just posting to get relief or not, but here are some suggestions if you're interested.
A no fat diet is not healthy. For more information read Udo Erasmus "Fats that heal, fats that kill". You may be sensitive to carbohydrates especially refined, like white rice, white flour, etc. etc. and those with a high glycemic index. You may need to increase your protein intake. Without keeping track of what you eat in a journal it's going to be pretty hard to figure out where you fall down nutritionally speaking. For optimal fat burn you need weight work, and cardio. You need to work out with weights or rubber bands. If you don't have the muscle to burn the calories and increase your metabolic rate, strictly cardio work is not going to help much if at all in the fat burning department.
For more on this read "Body for Life".
What can you do other than eat to relieve your feelings of stress? Do you eat because you're overtired? Then sleep is what you really need. Do you eat out of a sense of frustration, anger, sense of worthlessness, need to insulate yourself from men's looks? Analyse what's setting you off for binge behaviour. We all have our triggers. Then figure out how to replace your eating behaviour with something else. Perhaps when you feel the urge to eat, you run up and down stairs instead. KWIM?
I understand where you're coming from.