How do I convince myself it's ok to eat?

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So, I don't have an eating disorder or anything like that, just to let you know. But every since I started losing weight I've been trying to cut back to 1200 calories a day or less, when I KNOW my body needs more. I think it's because I'm trying to rush myself, but honestly it's making me hate myself and this journey.

I need some sort of way to remind myself that it's a slow process, and a lifestyle change, NOT a quick fix.

MFP tells me that my body burns around 2100 cal. a day being sedentary, so I feel like I'm depriving myself if I only eat 1200 cals, but when I eat more, I feel terrible.

Has anyone gone through the same thing or close to the same thing?