@Butrflynet,
Thank you very much for the replies!! I'm not sure if you caught the part in my OP that we are long distance, so going food shopping together and planning dates at the moment would not be viable.
So I just had the convo with her. I came clean and told her that sometimes I find her attractive and other times I do not find her attractive. She was hurt... that is a given. And she was angry... but it was not as bad as I thought it was going to be. We talked about the problems she has had due to her weight, and some problems that she could have in the future. She then told me she has a health problem that makes it difficult to lose weight and keep it off. I never knew this! For some reason, this changes things. I'm not sure why. Due to her health issue, the main treatment is too eat well and get exercise. I told her my concern is both for health and my physical attractiveness for her. However she only believes I want her to lose weight just so I find her more attractive. In reality, it is both things, but more-so for the attractiveness factor.
Since we live far apart. I feel like I want to ask her if she is interested in changing her eating habits and getting an exercise routine. So in all honesty, if she would say she would give it a go, I would move and I'd be with her every step of the way, including exercising cause I need that too. She said I would have to be ok with how she looks as of now, in order for our relationship to continue. I too, feel like that is right, and that an ultimatum is not. I need some time to process all this and see how I feel tomorrow. Any more insight?