Thin privilege is being excepted because of who you are. It’s not being grouped as part of your skinny better looking friends. It’s having your own opinion in the eyes of the man you so desperately want to be with.
Thin privilege is having the man you love with all of your heart turn you away because of how you look, but more specifically because of your weight. It’s not having him lie to you that that is not "all" of it. But in all honesty you know he’s lying through his teeth. You know he’s always been an bad liar.
Thin privilege is being able to not have to worry about if he thinks you exist or not. It’s not having to wonder if you aren’t just a fixture of one of your other mutual friends.
Thin privilege is not being rejected solely on your weight.