My fat girlfriend wants to see a picture of me

I have been dating a woman who is thick, chubby and hot for a few weeks. She wants to see a picture of my face. She has told me that she thinks I’m fat, and that's why I’m being secretive. I’m not fat though—I’m actually very lean and muscular. I have always been self-conscious of my good looks, and have found that it makes it difficult for me to make friends. I have been afraid to send her a picture because I don’t want her to like me for my face and not my personality. She is going to be visiting my house in a few days, so she will see me then, but I am still stressed out about this. Please help. <br><br>TLDR: I'm good looking and don't want my chubby girlfriend to only care for my looks.