M.K.
I would try a "mashed potato dinner." Serve everyone at the table (including you and Dad!) with a plate of buttered and/or seasoned mashed potatoes and put some on Emily's tray. Forget about the spoon -- allow her to explore and play/eat with her hands. This is close to a puree-like food, so she may be more willing to give it a try. Obviously, everyone else will need to eat something from the other food groups, but start out with the potatoes only. If that goes okay, you may want to try very small pieces of meatloaf with a bit of ketchup. These are foods that need very little chewing. Let her see all of you eating the same foods as she is.
It sounds like your Dr is waiting until 15 months before referring you into the Early Intervention process. You don't *have* to wait until 15 months old, if you really feel there is a problem. (Is she talking at all? Saying Mama and Dada?) I don't know how long you've been working on food, but I would definitely try to put in several weeks of trying before assuming there is a serious problem. Yes, it could be sensory processing issues, but it also could be that she is just not taking to table food. However, if your head and gut is screaming that something is wrong, go ahead and call EI. Good luck to you!!